Khloe & Lamar

After a quickie wedding and a lengthy prenup battle, sources close to the situation tell TMZ the happy couple's marriage license was officially recorded in Orange County at the end of last month.

Now, just as a reminder ... according to the prenup, we're told Lamar's $33 million contract with the Lakers is off limits to Khloe -- but she'll get a lump annual sum plus a number of other perks.

Not that we don't think they'll last or anything.

We're told Lamar wants to move the Manhattan Beach house ASAP, so he cut the realtor a check to get the staging done it to make it more presentable. Lamar and his new wife, Khloe, just threw down a chunk of change on a place in Tarzana -- a cool $3.995 million.

BTW -- the furniture doesn't even come with the house. For $2.39 mil, you'd think he'd throw in a sofa at least.

Sources tell TMZ that Khloe and Lamar just bought a house in Tarzana for a cool $3.995 million. It's 8,347 sq. feet with seven bedrooms and nine bathrooms.

It's part of a gated community -- good for keeping the paps at bay for the five minutes a day they don't want to be photographed.

The house boasts 5 bedrooms and 4.5 bathrooms plus your standard mansion fare -- pool, jacuzzi, and outdoor barbecue.

No word yet on why he's ditching the crib -- but it might have something to do with the new place he's planning to buy with his ... "wife."

According to Khloe's website, the couple stopped by Tattoo Mania in Los Angeles Saturday night on a whim and got tattoos of each other's initials on their hands.

Now if only this weren't the only permanent step they've taken so far ...

Update: We're told the total bill was $160 -- and the couple left more than a $60 tip.

We asked a team rep if the Kardashian Klan's presence at Tuesday night's season opener is going to set off a firestorm of Laker loses, and here's what we got:

"Good luck? Bad luck? I don't know that I believe in luck but we¹ll be happy to have them there ... we're happy to have Lamar¹s new family members at the game as well as future games, and we welcome their support."

Easy to say when you have Kobe Bryant, Ron Artest and Pau Gasol wearing purple and gold.

Obviously, Khloe has a pretty good reason to ride the purple and gold bandwagon -- but does the rest of the fam really care about the team ... or just getting their faces on TV??

Sure there are tons of celebs at every Lakers game -- including Staples staple Jack Nicholson -- but is it a travesty for the ever kamera-lovin' Kardashians to try and steal the spotlight on the very night the Lakers get their championship rings?

It was inked about an hour ago. Both Khloe and Lamar were together when they put pen to paper.

As we first reported, under the terms of the deal, Lamar keeps the $33 million salary he could make with the Lakers. Lamar will fund the joint account and give Khloe an annual lump sum that remains static throughout the marriage.

And, for good measure, Lamar agreed to pay for the home they plan to buy.

After Lamar Odom went down with a leg injury during Thursday's game against the Sacramento Kings, we're told Khloe chose to bail on her flight to Las Vegas the next day for Kim's birthday at Tao nightclub ... just so she could help nurse her hubby's boo-boo.

We know Lamar and Khloe have orally agreed, but the deal is not yet inked. It's basically the same structure as we first reported when they began negotiating. Lamar's $33 million -- which he stands to make during his 4-year contract with the Lakers -- is out of bounds for Khloe. But Lamar will fund the joint account, and Khloe can do considerable damage with that.

Again, as we reported, Khloe will get an annual lump sum, which will not go up or down throughout the marriage.

We also know during the negotiations Khloe (with the help of her mom, Kris) got Lamar to agree to buy a nice, expensive house for both of them that will probably cost $5 million minimum.

Sources say the deal should be signed this week.

As for reports that Khloe gets Laker tickets, that was never part of the deal. Besides, she now has someone who can hook her up if she wants.

Sources tell TMZ Lamar won't budge an inch ... his income will stay his separate property. Lamar could make up to $33 mil over the next 4 years with the L.A. Lakers and he's not going to make it community property.

We're told Lamar is willing to give Khloe a yearly chunk of money and the amount will remain static, no matter how long they're married.

Lamar will pay for all the couple's expenses by funding their joint account -- and with Khloe, that could be a bonanza.

So why would Khloe go for this? Sources tell us she wants to get married to Lamar ... period. We're told Khloe thinks she can change Lamar over time and believes the deal will eventually become fair.

We're told the prenup is almost a done deal.

Once it's signed, the couple will make the marriage legal.

We've learned Lamar Odom has already met with his lawyer to hash out a prenup before making his wedding to Khloe Kardashian official.

We've learned Odom went to the Beverly Hills law office of divorce-guru Neal Hersh last Friday to hash out the terms. Hersh won't return our call, but Odom's people tell us "Lamar has a set of balls" -- translation, he's not giving Khloe half of anything.

We're told Lamar wants to make sure the money and other assets he brings into the marriage are solely his. Beyond that, we're told Lamar ain't giving Khloe half of his earnings going forward.

How will it play with Khloe?

Stay tuned ...

Let's hope the ring is more genuine than the wedding ...

We've learned the deep-pocketed bearer of strange gifts was Vitaquest CEO Keith Frankel -- the guy who owns the diet pill called "QuickTrim." Frankel's connection to the Kardashians comes through Kim -- who uses his products to keep her famously huge backside under control.

Inviting him to the wedding was obviously a good idea -- because who else would have been crazy enough to buy such a tacky gift?

Everything was planned ... even the moment when Khloe told Bruce Jenner she considered him her "real dad."

The "newlyweds" weren't talking about the prenup negotiations outside the Mondrian last night, but Khloe not-so-coyly showed off her new bling -- and likely blinded some paps in the process.