132517872 has 30 divisors (see below), whose sum is σ = 370866392. Its totient is φ = 44172576.

The previous prime is 132517871. The next prime is 132517877. The reversal of 132517872 is 278715231.

132517872 is a `hidden beast` number, since 132 + 517 + 8 + 7 + 2 = 666.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132517871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459988 + ... + 460275.

Almost surely, 2^132517872 is an apocalyptic number.

132517872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132517872 is an abundant number, since it is smaller than the sum of its proper divisors (238348520).

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

132517872 is a wasteful number, since it uses less digits than its factorization.

132517872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920277 (or 920268 counting only the distinct ones).

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

The square root of 132517872 is about 11511.6407171176. The cubic root of 132517872 is about 509.8293315899.

The spelling of 132517872 in words is "one hundred thirty-two million, five hundred seventeen thousand, eight hundred seventy-two".