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So NOW the question is, since the number is too long to be a MA license plate, AND I don't think postal vehicles HAVE plates as such, what does the ## stand for??
I don't know why you'd think these vehicles would have ever had MA license plates. Even back in the day of plates on USPS vehicles, they usually carried US Government plates. As for the ID Tag for the vehicle, it's probably the ID number of the vehicle. If you look at most any postal delivery vehicle today there is an ID number in place of a license plate usually printed near the roofline. I suspect the numbers on the tag coincide with that, as per this example (at least the number of digits match):

One further note: I just read on an unofficial website that the USPS was exempted from having to display license plates (choosing the painted number at the roofline instead) per Federal regulations put in place that date back to 1973.