2009 Fermat Problem 14

Different positive integers can be written in the eight empty circles so that the product of any three integers in a straight line is 3240. What is the largest possible sum of the eight numbers surrounding 45?

\textbf{(A)}\ 139\quad \textbf{(B)}\ 211\quad \textbf{(C)}\ 156\quad \textbf{(D)}\ 159\quad \textbf{(E)}\ 160

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 Fermat contests here.