That's hard to say because unlike new cars, which all have 0 miles and no owners, used cars have had different owners and different qualities of maintenance.
Having said that, if you want a purely statistical answer (meaning an *average* of what might happen), then about 175K is the typical expected lifespan of a modern gasoline powered car (presuming it is not demolished beforehand).
So if you buy a car with 150K, you are like a 70 year old man--you might look good and still play tennis, but you could drop dead at any moment.
On "newer" cars of course, you won't see that many miles so the real consideration here is "when do cars start to need repairs?"
I'd offer the opinion that at about 80K miles, most cars are ready to starting to wear out things like suspension parts, alternators, electronics, belts, hoses, pulley bearings, radiators, water pumps, timing belts, etc, so you can expect some $$$ repairs, but not a calamity necessarily, starting at around 80,000 miles. So be prepared for that.