132561972 has 72 divisors (see below), whose sum is σ = 359189376. Its totient is φ = 41114304.

The previous prime is 132561959. The next prime is 132561973. The reversal of 132561972 is 279165231.

132561972 is a `hidden beast` number, since 1 + 3 + 2 + 561 + 97 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132561973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28473 + ... + 32799.

Almost surely, 2^132561972 is an apocalyptic number.

132561972 is a gapful number since it is divisible by the number (12) 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 132561972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179594688).

132561972 is an abundant number, since it is smaller than the sum of its proper divisors (226627404).

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

132561972 is a wasteful number, since it uses less digits than its factorization.

132561972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4392 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 132561972 is about 11513.5560101995. The cubic root of 132561972 is about 509.8858798868.

The spelling of 132561972 in words is "one hundred thirty-two million, five hundred sixty-one thousand, nine hundred seventy-two".