132407963316720 has 3840 divisors, whose sum is σ = 607813897420800. Its totient is φ = 25891467264000.

The previous prime is 132407963316709. The next prime is 132407963316821. The reversal of 132407963316720 is 27613369704231.

132407963316720 is a `hidden beast` number, since 1 + 3 + 240 + 7 + 9 + 6 + 331 + 67 + 2 + 0 = 666.

132407963316720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 191617891575 + ... + 191617892265.

It is an arithmetic number, because the mean of its divisors is an integer number (158284869120).

Almost surely, 2^{132407963316720} is an apocalyptic number.

132407963316720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132407963316720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303906948710400).

132407963316720 is an abundant number, since it is smaller than the sum of its proper divisors (475405934104080).

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

132407963316720 is a wasteful number, since it uses less digits than its factorization.

132407963316720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 132407963316720 in words is "one hundred thirty-two trillion, four hundred seven billion, nine hundred sixty-three million, three hundred sixteen thousand, seven hundred twenty".