132561765 has 160 divisors (see below), whose sum is σ = 301086720. Its totient is φ = 54400896.

The previous prime is 132561749. The next prime is 132561773. The reversal of 132561765 is 567165231.

132561765 is a `hidden beast` number, since 1 + 32 + 5 + 617 + 6 + 5 = 666.

It is not a de Polignac number, because 132561765 - 2⁴ = 132561749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1238842 + ... + 1238948.

It is an arithmetic number, because the mean of its divisors is an integer number (1881792).

Almost surely, 2^132561765 is an apocalyptic number.

132561765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132561765 is an abundant number, since it is smaller than the sum of its proper divisors (168524955).

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

132561765 is a wasteful number, since it uses less digits than its factorization.

132561765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 132561765 is about 11513.5470207925. The cubic root of 132561765 is about 509.8856144853.

The spelling of 132561765 in words is "one hundred thirty-two million, five hundred sixty-one thousand, seven hundred sixty-five".