132764688 has 60 divisors (see below), whose sum is σ = 424639488. Its totient is φ = 37932480.

The previous prime is 132764677. The next prime is 132764699. The reversal of 132764688 is 886467231.

It is an interprime number because it is at equal distance from previous prime (132764677) and next prime (132764699).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 64848 + ... + 66863.

Almost surely, 2^132764688 is an apocalyptic number.

132764688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132764688 is an abundant number, since it is smaller than the sum of its proper divisors (291874800).

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

132764688 is a wasteful number, since it uses less digits than its factorization.

132764688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131732 (or 131723 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 132764688 is about 11522.3560090808. The cubic root of 132764688 is about 510.1456562051.

The spelling of 132764688 in words is "one hundred thirty-two million, seven hundred sixty-four thousand, six hundred eighty-eight".