132135048864 has 576 divisors, whose sum is σ = 488726784000. Its totient is φ = 32885139456.

The previous prime is 132135048853. The next prime is 132135048907. The reversal of 132135048864 is 468840531231.

132135048864 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 504 + 88 + 64 = 666.

It is a super-2 number, since 2×132135048864² (a number of 23 digits) contains 22 as substring.

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, 220592437 + ... + 220593035.

It is an arithmetic number, because the mean of its divisors is an integer number (848484000).

Almost surely, 2^132135048864 is an apocalyptic number.

132135048864 is a gapful number since it is divisible by the number (14) 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 132135048864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244363392000).

132135048864 is an abundant number, since it is smaller than the sum of its proper divisors (356591735136).

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

132135048864 is a wasteful number, since it uses less digits than its factorization.

132135048864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 132135048864 in words is "one hundred thirty-two billion, one hundred thirty-five million, forty-eight thousand, eight hundred sixty-four".