132701587200 has 2160 divisors, whose sum is σ = 631151062080. Its totient is φ = 26754416640.

The previous prime is 132701587133. The next prime is 132701587211. The reversal of 132701587200 is 2785107231.

132701587200 is a `hidden beast` number, since 1 + 3 + 2 + 70 + 1 + 587 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×132701587200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1368057552 + ... + 1368057648.

Almost surely, 2^132701587200 is an apocalyptic number.

132701587200 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 132701587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315575531040).

132701587200 is an abundant number, since it is smaller than the sum of its proper divisors (498449474880).

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

132701587200 is a wasteful number, since it uses less digits than its factorization.

132701587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 132701587200 in words is "one hundred thirty-two billion, seven hundred one million, five hundred eighty-seven thousand, two hundred".