BeCareful!: Couple HandShake

You are a reporter of Chicago Tribune Entertainment section. There was a celebrity couple-exclusive party in Chicago. It was a formal and fabulous one :) so everyone in the party had hanshaked others excluding their own partners. Your paparazzo were able to capture 144 handshakes. You know that they are the best in this job. So your director in the newspaper wants you to report how many couples there were in the party?