132399045088128 has 768 divisors, whose sum is σ = 494277281971200. Its totient is φ = 33034753179648.

The previous prime is 132399045088081. The next prime is 132399045088151. The reversal of 132399045088128 is 821880540993231.

132399045088128 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 9 + 90 + 450 + 88 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1447998700 + ... + 1448090132.

It is an arithmetic number, because the mean of its divisors is an integer number (643590210900).

Almost surely, 2^{132399045088128} is an apocalyptic number.

132399045088128 is a gapful number since it is divisible by the number (18) 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 132399045088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247138640985600).

132399045088128 is an abundant number, since it is smaller than the sum of its proper divisors (361878236883072).

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

132399045088128 is a wasteful number, since it uses less digits than its factorization.

132399045088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92219 (or 92204 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 132399045088128 in words is "one hundred thirty-two trillion, three hundred ninety-nine billion, forty-five million, eighty-eight thousand, one hundred twenty-eight".