132575987589120 has 2016 divisors, whose sum is σ = 505653515040960. Its totient is φ = 33297782538240.

The previous prime is 132575987589113. The next prime is 132575987589167. The reversal of 132575987589120 is 21985789575231.

132575987589120 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 7 + 598 + 7 + 5 + 8 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 550107832200 + ... + 550107832440.

Almost surely, 2^{132575987589120} is an apocalyptic number.

132575987589120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132575987589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252826757520480).

132575987589120 is an abundant number, since it is smaller than the sum of its proper divisors (373077527451840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132575987589120 is an frugal number, since it uses more digits than its factorization.

132575987589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 132575987589120 in words is "one hundred thirty-two trillion, five hundred seventy-five billion, nine hundred eighty-seven million, five hundred eighty-nine thousand, one hundred twenty".