132705437600736 has 864 divisors, whose sum is σ = 539447044002048. Its totient is φ = 29945856245760.

The previous prime is 132705437600693. The next prime is 132705437600759. The reversal of 132705437600736 is 637006734507231.

132705437600736 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 0 + 543 + 7 + 60 + 0 + 7 + 36 = 666.

It is a super-2 number, since 2×132705437600736² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 62670195 + ... + 64753101.

It is an arithmetic number, because the mean of its divisors is an integer number (624360004632).

Almost surely, 2^{132705437600736} is an apocalyptic number.

132705437600736 is a gapful number since it is divisible by the number (16) 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 132705437600736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269723522001024).

132705437600736 is an abundant number, since it is smaller than the sum of its proper divisors (406741606401312).

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

132705437600736 is a wasteful number, since it uses less digits than its factorization.

132705437600736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082984 (or 2082960 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 132705437600736 in words is "one hundred thirty-two trillion, seven hundred five billion, four hundred thirty-seven million, six hundred thousand, seven hundred thirty-six".