110 team championships.
UVA has won a total of 16 national championships in team sports. 6 of them were in soccer.
Alabama has the most championships post 1936, but Princeton claimed the most national championships prior to 1936
UCLA - 100 Championships
The pro sports team that has won the most championships are the Boston Celtics. They won eight consecutive championships from 1959 to 1966.
Texas A&M has 17 team National Championships while also winning 62 individual National Championships for a combined total of 79. A&M has also won a total of 159 team conference and tournament championships.
Alabama's Basketball team has 0 National Championships
Personally or in my opinion, I believe that the crimson tide, University of Alabama,is the most popular nickname considering that they have the most BCS National Championships and that they are the reigning bcs national champions for 2009.
They have won 21 national wrestling championships