132057107280 has 480 divisors, whose sum is σ = 529950081024. Its totient is φ = 28813999104.

The previous prime is 132057107233. The next prime is 132057107293. The reversal of 132057107280 is 82701750231.

132057107280 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 571 + 0 + 7 + 2 + 80 = 666.

132057107280 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 2×132057107280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84273057 + ... + 84274623.

Almost surely, 2^132057107280 is an apocalyptic number.

132057107280 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 132057107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264975040512).

132057107280 is an abundant number, since it is smaller than the sum of its proper divisors (397892973744).

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

132057107280 is a wasteful number, since it uses less digits than its factorization.

132057107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 132057107280 in words is "one hundred thirty-two billion, fifty-seven million, one hundred seven thousand, two hundred eighty".