132907920 has 80 divisors (see below), whose sum is σ = 416169792. Its totient is φ = 35084800.

The previous prime is 132907919. The next prime is 132907933. The reversal of 132907920 is 29709231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×132907920³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21499 + ... + 26981.

Almost surely, 2^132907920 is an apocalyptic number.

132907920 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 132907920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208084896).

132907920 is an abundant number, since it is smaller than the sum of its proper divisors (283261872).

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

132907920 is a wasteful number, since it uses less digits than its factorization.

132907920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 132907920 is about 11528.5697291555. The cubic root of 132907920 is about 510.3290456359.

The spelling of 132907920 in words is "one hundred thirty-two million, nine hundred seven thousand, nine hundred twenty".