Kevin Mazur / WireImage 1 / 3
Kevin Mazur / WireImage 1 / 3

Kim Kardashian has a new nickname: Zorro!

"Poor little Kimmie laid out too long and got a major sunglasses tan! It was SO funny though!" her sis Khloe blogs. "We called her Zorro the rest of the trip hahahaha."

See stars with terrible tans!

The Kardashian clan was celebrating Kourtney's birthday at Joe Francis' Puerto Vallarta home when Kim dozed off in the sun last Thursday and got burned.

See more stars at the beach!

"I'm going to have to hide from cameras for days," Kim moaned on her blog last Friday. "It hurts! Everyone here is making fun of me!"