Khloe Kardashian Odom is joining Britney Spears, Demi Lovato and Simon Cowell at the judges' table on "The X Factor" in Los Angeles, producers said. E! News reported Monday Odom, a popular reality TV personality, will be a part-time judge on the singing competition show starting next month. She will share her judging duties with a yet-to-be-named male partner, possibly Mario Lopez, the report said.