132865920 has 320 divisors, whose sum is σ = 519845040. Its totient is φ = 32071680.

The previous prime is 132865919. The next prime is 132865933. The reversal of 132865920 is 29568231.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 570124 + ... + 570356.

Almost surely, 2^132865920 is an apocalyptic number.

132865920 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 132865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259922520).

132865920 is an abundant number, since it is smaller than the sum of its proper divisors (386979120).

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

132865920 is a wasteful number, since it uses less digits than its factorization.

132865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132865920 is about 11526.7480236188. The cubic root of 132865920 is about 510.2752839086.

The spelling of 132865920 in words is "one hundred thirty-two million, eight hundred sixty-five thousand, nine hundred twenty".