132715638 has 64 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 40042080.

The previous prime is 132715637. The next prime is 132715669. The reversal of 132715638 is 836517231.

132715638 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 15 + 638 = 666.

It is a super-2 number, since 2×132715638² = 35226881139494088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132715637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221263 + ... + 221861.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2^132715638 is an apocalyptic number.

132715638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132715638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

132715638 is an abundant number, since it is smaller than the sum of its proper divisors (190420362).

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

132715638 is a wasteful number, since it uses less digits than its factorization.

132715638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 132715638 is about 11520.2273415068. The cubic root of 132715638 is about 510.0828239189.

The spelling of 132715638 in words is "one hundred thirty-two million, seven hundred fifteen thousand, six hundred thirty-eight".