132865584 has 80 divisors (see below), whose sum is σ = 354498144. Its totient is φ = 42854400.

The previous prime is 132865583. The next prime is 132865589. The reversal of 132865584 is 485568231.

It is a super-2 number, since 2×132865584² = 35306526823322112, which contains 22 as substring.

Its product of digits (230400) is a multiple of the sum of its prime divisors (600).

It is not an unprimeable number, because it can be changed into a prime (132865583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356022 + ... + 356394.

Almost surely, 2^132865584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132865584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177249072).

132865584 is an abundant number, since it is smaller than the sum of its proper divisors (221632560).

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

132865584 is a wasteful number, since it uses less digits than its factorization.

132865584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 132865584 is about 11526.7334488137. The cubic root of 132865584 is about 510.2748537691.

The spelling of 132865584 in words is "one hundred thirty-two million, eight hundred sixty-five thousand, five hundred eighty-four".