Logs! (in what follows log denotes the common log, that is base 10)

log(187^273 x 456^135 x 299^424 x 588^139 x 394^154 x 181^177 x 1342^437) =

.........273 log(187) + 135 log(456) + 424 log(299) + 139 log(588) + 154 log(394) + 177 log(181) + 437 log(1342)~=4579.9444

So the product ~=8.799 x 10^4579

RonL