132720635424312 has 96 divisors (see below), whose sum is σ = 387206457281280. Its totient is φ = 40826083449600.

The previous prime is 132720635424257. The next prime is 132720635424329. The reversal of 132720635424312 is 213424536027231.

132720635424312 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 2 + 0 + 63 + 542 + 43 + 1 + 2 = 666.

132720635424312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132720635424312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15692248 + ... + 22620519.

It is an arithmetic number, because the mean of its divisors is an integer number (4033400596680).

Almost surely, 2^{132720635424312} is an apocalyptic number.

132720635424312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132720635424312 is an abundant number, since it is smaller than the sum of its proper divisors (254485821856968).

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

132720635424312 is a wasteful number, since it uses less digits than its factorization.

132720635424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38316493 (or 38316486 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 132720635424312 in words is "one hundred thirty-two trillion, seven hundred twenty billion, six hundred thirty-five million, four hundred twenty-four thousand, three hundred twelve".