132653812962720 has 1536 divisors, whose sum is σ = 501195921408000. Its totient is φ = 28872209203200.

The previous prime is 132653812962677. The next prime is 132653812962731. The reversal of 132653812962720 is 27269218356231.

132653812962720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 380096885106 + ... + 380096885454.

It is an arithmetic number, because the mean of its divisors is an integer number (326299428000).

Almost surely, 2^{132653812962720} is an apocalyptic number.

132653812962720 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 132653812962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250597960704000).

132653812962720 is an abundant number, since it is smaller than the sum of its proper divisors (368542108445280).

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

132653812962720 is a wasteful number, since it uses less digits than its factorization.

132653812962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 132653812962720 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, eight hundred twelve million, nine hundred sixty-two thousand, seven hundred twenty".