132308521582104 has 512 divisors, whose sum is σ = 464141912832000. Its totient is φ = 34047887376384.

The previous prime is 132308521582091. The next prime is 132308521582117. The reversal of 132308521582104 is 401285125803231.

132308521582104 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 8 + 52 + 1 + 582 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (132308521582091) and next prime (132308521582117).

It is a self number, because there is not a number n which added to its sum of digits gives 132308521582104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83446627 + ... + 85017389.

It is an arithmetic number, because the mean of its divisors is an integer number (906527173500).

Almost surely, 2^{132308521582104} is an apocalyptic number.

132308521582104 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 132308521582104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232070956416000).

132308521582104 is an abundant number, since it is smaller than the sum of its proper divisors (331833391249896).

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

132308521582104 is a wasteful number, since it uses less digits than its factorization.

132308521582104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570944 (or 1570934 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 132308521582104 in words is "one hundred thirty-two trillion, three hundred eight billion, five hundred twenty-one million, five hundred eighty-two thousand, one hundred four".