132521459616 has 1728 divisors, whose sum is σ = 551646547200. Its totient is φ = 30579462144.

The previous prime is 132521459573. The next prime is 132521459621. The reversal of 132521459616 is 616954125231.

It is a happy number.

132521459616 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 21 + 4 + 5 + 9 + 616 = 666.

132521459616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (388800) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4569705490 + ... + 4569705518.

It is an arithmetic number, because the mean of its divisors is an integer number (319239900).

Almost surely, 2^132521459616 is an apocalyptic number.

132521459616 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 132521459616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275823273600).

132521459616 is an abundant number, since it is smaller than the sum of its proper divisors (419125087584).

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

132521459616 is a wasteful number, since it uses less digits than its factorization.

132521459616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 132521459616 in words is "one hundred thirty-two billion, five hundred twenty-one million, four hundred fifty-nine thousand, six hundred sixteen".