132313584 has 80 divisors (see below), whose sum is σ = 389787552. Its totient is φ = 38313984.

The previous prime is 132313583. The next prime is 132313607. The reversal of 132313584 is 485313231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313583) 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, 4372 + ... + 16844.

Almost surely, 2^132313584 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 132313584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776).

132313584 is an abundant number, since it is smaller than the sum of its proper divisors (257473968).

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

132313584 is a wasteful number, since it uses less digits than its factorization.

132313584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514 (or 12508 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 132313584 is about 11502.7641895329. The cubic root of 132313584 is about 509.5672145420.

The spelling of 132313584 in words is "one hundred thirty-two million, three hundred thirteen thousand, five hundred eighty-four".