132947568 has 150 divisors (see below), whose sum is σ = 417351264. Its totient is φ = 40839552.

The previous prime is 132947557. The next prime is 132947593. The reversal of 132947568 is 865749231.

It is a super-2 number, since 2×132947568² = 35350111674229248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218721 + ... + 219327.

Almost surely, 2^132947568 is an apocalyptic number.

132947568 is a gapful number since it is divisible by the number (18) 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 132947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208675632).

132947568 is an abundant number, since it is smaller than the sum of its proper divisors (284403696).

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

132947568 is a wasteful number, since it uses less digits than its factorization.

132947568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 625 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 132947568 is about 11530.2891550906. The cubic root of 132947568 is about 510.3797863150.

The spelling of 132947568 in words is "one hundred thirty-two million, nine hundred forty-seven thousand, five hundred sixty-eight".