132697656 has 256 divisors, whose sum is σ = 467174400. Its totient is φ = 33965568.

The previous prime is 132697633. The next prime is 132697679. The reversal of 132697656 is 656796231.

It is an interprime number because it is at equal distance from previous prime (132697633) and next prime (132697679).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 132697656 = 36³ + 510³ = 302³ + 472³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845130 + ... + 845286.

It is an arithmetic number, because the mean of its divisors is an integer number (1824900).

Almost surely, 2^132697656 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 132697656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233587200).

132697656 is an abundant number, since it is smaller than the sum of its proper divisors (334476744).

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

132697656 is a wasteful number, since it uses less digits than its factorization.

132697656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 132697656 is about 11519.4468617204. The cubic root of 132697656 is about 510.0597853789.

The spelling of 132697656 in words is "one hundred thirty-two million, six hundred ninety-seven thousand, six hundred fifty-six".