132314890767408 has 100 divisors (see below), whose sum is σ = 382963828241808. Its totient is φ = 44104255678080.

The previous prime is 132314890767359. The next prime is 132314890767457. The reversal of 132314890767408 is 804767098413231.

132314890767408 is a `hidden beast` number, since 1 + 3 + 2 + 31 + 48 + 90 + 76 + 7 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (132314890767359) and next prime (132314890767457).

It is a super-2 number, since 2×132314890767408² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83285910 + ... + 84859722.

Almost surely, 2^{132314890767408} is an apocalyptic number.

132314890767408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132314890767408 is an abundant number, since it is smaller than the sum of its proper divisors (250648937474400).

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

132314890767408 is a wasteful number, since it uses less digits than its factorization.

132314890767408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638704 (or 1638689 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 132314890767408 in words is "one hundred thirty-two trillion, three hundred fourteen billion, eight hundred ninety million, seven hundred sixty-seven thousand, four hundred eight".