132838688 has 48 divisors (see below), whose sum is σ = 270781056. Its totient is φ = 64104960.

The previous prime is 132838679. The next prime is 132838703. The reversal of 132838688 is 886838231.

It is a super-2 number, since 2×132838688² = 35292234059122688, 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 7 ways as a sum of consecutive naturals, for example, 134645 + ... + 135627.

It is an arithmetic number, because the mean of its divisors is an integer number (5641272).

Almost surely, 2^132838688 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 132838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

132838688 is an abundant number, since it is smaller than the sum of its proper divisors (137942368).

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

132838688 is a wasteful number, since it uses less digits than its factorization.

132838688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 132838688 is about 11525.5667105787. The cubic root of 132838688 is about 510.2404197739.

The spelling of 132838688 in words is "one hundred thirty-two million, eight hundred thirty-eight thousand, six hundred eighty-eight".