Rodney McGruder added 10 points for the Wildcats (15-8, 3-5 Big 12).
Kansas State took control of the game late in the first half, going on a 9-0 run and holding Nebraska without a field goal for more than 5 1/2 minutes. Pullen capped the stretch with a layup that gave Kansas State a 30-14 lead.
Nebraska never got closer than 11 after halftime.
Kansas State was 21 of 25 from the free-throw line, 18 of 21 in the second half.