I initially scoffed at the 150-200 amps. But I know core voltage is usually in the neighbourhood of 1V so to draw 200W, you really would have to basically be moving 200A of current. That's wild.
Yup. P=IV is really surprising when you get to high power parts at low core voltages. Needless to say, you need lots of transistors and phases on voltage conversion, and you need lots and lots of plane area.
(And,... 200A is the average when dissipating 200W. So how high are the switching currents? ;)
AMD's desktop CPUs are still running at a bit more than 1V; 1.3-1.4V is what you'll see at the high end of the clock speed range. But power draw can easily be in the 250–300W range if you turn on the "PBO" automatic overclocking mode, so 200A is not really the upper bound.
What's really wild is with all the power scaling features the regulators have to step from zero to hundreds of amps in microseconds with very little overshoot. The power design for these modern systems is demanding.