132874560 has 448 divisors, whose sum is σ = 580339200. Its totient is φ = 28035072.

The previous prime is 132874529. The next prime is 132874571. The reversal of 132874560 is 65478231.

132874560 is a `hidden beast` number, since 1 + 3 + 28 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 10221114 + ... + 10221126.

It is an arithmetic number, because the mean of its divisors is an integer number (1295400).

Almost surely, 2^132874560 is an apocalyptic number.

132874560 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 132874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290169600).

132874560 is an abundant number, since it is smaller than the sum of its proper divisors (447464640).

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

132874560 is an equidigital number, since it uses as much as digits as its factorization.

132874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 132874560 is about 11527.1227979926. The cubic root of 132874560 is about 510.2863443894.

The spelling of 132874560 in words is "one hundred thirty-two million, eight hundred seventy-four thousand, five hundred sixty".