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Buy 80 Endeavour space shuttles
NASA spent around $1.7 billion on Endeavour, the space shuttle orbiter built to replace Challenger. With $137.1 billion, Apple could just stretch it enough to buy 80 space shuttles.
But, of course, this doesn't include the costs of fuel, astronaut labor costs, and launching the thing into orbit. Realistically, Apple could probably buy around 50 at today's prices and still have plenty left over to run a half-decent space program of its own.