USAFFE didn't have that many men.
All over the Philippines ?
They most certainly did.
The Philippine Army alone had 13 divisions, each nominally with 10,000+ men, plus a proportional number of service units. This includes the Philippine Constabulary.
Not all were fully mobilized, and there were many desertions, but a high proportion did show up and were present for service, at least for a while.
Add to that about 12,000 US troops and Philippine Scouts in the Philippine Division, another 5,000 or so in Coast Defense units, another 10,000 more USAAF and Anti-Aircraft (there was a whole AA regiment), two tank battalions with service personnel, the Navy personnel of two major naval bases (Subic and Cavite) and various auxiliary vessels such as the large Submarine Tender Canopus (nearly 1000 sailors right there), etc. ad infinitum for all sorts of ancillaries and odds+ends.
If you want a complete, thorough breakdown I recommend Louis Mortons “Fall of the Philippines”, quite old now but its still the primary reference.
This is one of the US Army “Green Books”, so its online -
http://www.history.army.mil/books/wwii/5-2/5-2_Contents.htm