1999 Gauss 8 Problem 11

Which of the following numbers is an odd integer, contains the digit 5, is divisible by 3, and lies between 12^2 and 13^2?

\textbf{(A)}\ 105\quad \textbf{(B)}\ 147\quad \textbf{(C)}\ 156\quad \textbf{(D)}\ 165\quad \textbf{(E)}\ 175

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.