!!!! IMPORTANT COMMENT !!!!,
because the edit button is now gone:
I misspoke, 145 should have been my loose estimate for the median of actual working mathematicians and taken with many more grains of salt. Mathematics PhD students cluster around a much more attainable average of 128-130. Per [1] this would map to a much easier SAT score of only around 1280.
My general point still stands that you probably want to look at this and consider your potential career in math against this, but the skill curve is less punishing than I initially thought.