132956677396704 has 96 divisors (see below), whose sum is σ = 399561315906816. Its totient is φ = 37921785569280.

The previous prime is 132956677396541. The next prime is 132956677396709. The reversal of 132956677396704 is 407693776659231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132956677396709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171061302 + ... + 171836789.

It is an arithmetic number, because the mean of its divisors is an integer number (4162097040696).

Almost surely, 2^{132956677396704} is an apocalyptic number.

132956677396704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132956677396704 is an abundant number, since it is smaller than the sum of its proper divisors (266604638510112).

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

132956677396704 is a wasteful number, since it uses less digits than its factorization.

132956677396704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342898688 (or 342898680 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 75.

The spelling of 132956677396704 in words is "one hundred thirty-two trillion, nine hundred fifty-six billion, six hundred seventy-seven million, three hundred ninety-six thousand, seven hundred four".