132720878976 has 256 divisors, whose sum is σ = 427360872960. Its totient is φ = 35626254336.

The previous prime is 132720878921. The next prime is 132720879001. The reversal of 132720878976 is 679878027231.

It is a super-2 number, since 2×132720878976² (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 29380270 + ... + 29384786.

It is an arithmetic number, because the mean of its divisors is an integer number (1669378410).

Almost surely, 2^132720878976 is an apocalyptic number.

132720878976 is a gapful number since it is divisible by the number (16) 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 132720878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213680436480).

132720878976 is an abundant number, since it is smaller than the sum of its proper divisors (294639993984).

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

132720878976 is a wasteful number, since it uses less digits than its factorization.

132720878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 132720878976 in words is "one hundred thirty-two billion, seven hundred twenty million, eight hundred seventy-eight thousand, nine hundred seventy-six".