Algebra CAT Puzzle - Solution

The Puzzle:

Algebra CAT
Solve the following (each letter is a digit):

CAT = (C + A + T) × C × A × T

Our Solution:

135 = (1 + 3 + 5) × 1 × 3 × 5

If you allow A=T, then another solution is (supplied by Bill Elliott):

144 = (1 + 4 + 4) × 1 × 4 × 4
See this puzzle without solution
Discuss this puzzle at the Math is Fun Forum