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Buy Morocco, Cuba, or a small European country
The problem Apple has is that most of its cash offshore—68 percent, to be specific—and out of the U.S. taxman's hands. It can't repatriate its cash or the company will face massive tax bills.
One of the best solutions for Apple is to buy a small country—based on gross domestic product (GDP)—so it can bring in its cash from all corners of the world at a zero-percent tax rate.
Apple could buy country with a GDP of less than $137.1 billion, at least in theory (not including costs to build an iArmy to invade the place). It could make a bid for Morocco, Cuba, or even Luxembourg—a known tax haven—or a small European country like Latvia, and still have some cash left over to give everyone in the country an iPhone.
Buy a private island
Private islands don't actually cost that much anymore. Any medium-level multi-millionaire could probably snap up one for just a fraction of their overall worth. Actually making the place habitable, however, is something else, let alone turning the island from "Lost" into a popular tourist destination for morally bankrupt folk who seek a place in the purgatoric sun.
According to one private island broker, the average going price for a private island in the Caribbean appears to be in the region of $3.5 million to about $47 million, give or take ten million or so.
Or, if you look at the country's gross domestic product (GDP), Apple could buy the Cook Islands (get it? Tim Cook… oh, forget it) for a meager $183.2 million.
Give every U.S. student an iPad (or two... or five)
There are roughly 49.8 million students in K-12 education in the U.S., with an additional 21.6 million students at college, according to the U.S. Dept. of Education.
Apple could, with its $137.1 billion cash pile, give every single K-12 and college student, an iPad—literally any iPad, including the top-of-the-range iPad (128GB, Wi-Fi + Cellular) with Retina display at $929.
But it doesn't just stop there. Apple could in fact give every single K-12 and college student two of the most expensive iPads on offer. If it were the cheapest Apple tablet—the iPad mini (16GB, Wi-Fi only) at $329, those 71.4 million students could be given five iPad mini tablets in total, and Apple would still have a few billion dollars left in the bank.