132772512015360 has 1056 divisors, whose sum is σ = 543169078493184. Its totient is φ = 29345587200000.

The previous prime is 132772512015281. The next prime is 132772512015371. The reversal of 132772512015360 is 63510215277231.

132772512015360 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 7 + 251 + 20 + 15 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14509066785 + ... + 14509075935.

It is an arithmetic number, because the mean of its divisors is an integer number (514364657664).

Almost surely, 2^{132772512015360} is an apocalyptic number.

132772512015360 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 132772512015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271584539246592).

132772512015360 is an abundant number, since it is smaller than the sum of its proper divisors (410396566477824).

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

132772512015360 is a wasteful number, since it uses less digits than its factorization.

132772512015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 132772512015360 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, five hundred twelve million, fifteen thousand, three hundred sixty".