132457584 has 120 divisors (see below), whose sum is σ = 401462400. Its totient is φ = 37521792.

The previous prime is 132457541. The next prime is 132457601. The reversal of 132457584 is 485754231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467907 + ... + 468189.

It is an arithmetic number, because the mean of its divisors is an integer number (3345520).

Almost surely, 2^132457584 is an apocalyptic number.

132457584 is a gapful number since it is divisible by the number (14) 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 132457584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200731200).

132457584 is an abundant number, since it is smaller than the sum of its proper divisors (269004816).

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

132457584 is a wasteful number, since it uses less digits than its factorization.

132457584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 132457584 is about 11509.0218524425. The cubic root of 132457584 is about 509.7520055342.

The spelling of 132457584 in words is "one hundred thirty-two million, four hundred fifty-seven thousand, five hundred eighty-four".