Naturally Khloe Kardashian has a sex tape — with Lamar Odom, nonetheless — and since her brand-new show is debuting, “Kocktails With Khloe,” she’s coming out with all the skeletons in her closet.

About the tape, she says, “I’ve definitely recorded myself having sex with my ex-husband, but not like talking to camera. Do you remember those little cameras … they were little video cameras that you put in your pocket? That was my jam for a moment.” She continued, stating that the videos — yes, plural — were locked up her safe.

Later, she played the obligatory “Watch What Happens Live” round of “Shag, Marry, Kill” that featured Kanye, Scott Disick, and Tyga, and the results were interesting to say the least.

Khloe crowed, “Marry Kanye. Oh G-d, this is weird. Shag Scott, kill Tyga, and there’s no reason why.” We can think of a few good reasons that Tyga’s on the bottom of that pile, but man — all these details.

She keeps this kind of stuff up, she’s not going to have anything to talk about on the show. Didn’t she learn anything from Momager?