132979207680 has 1280 divisors, whose sum is σ = 550829030400. Its totient is φ = 30098718720.

The previous prime is 132979207639. The next prime is 132979207703. The reversal of 132979207680 is 86702979231.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 815823279 + ... + 815823441.

It is an arithmetic number, because the mean of its divisors is an integer number (430335180).

Almost surely, 2^132979207680 is an apocalyptic number.

132979207680 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 132979207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275414515200).

132979207680 is an abundant number, since it is smaller than the sum of its proper divisors (417849822720).

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

132979207680 is a wasteful number, since it uses less digits than its factorization.

132979207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 132979207680 in words is "one hundred thirty-two billion, nine hundred seventy-nine million, two hundred seven thousand, six hundred eighty".