152510479632 has 180 divisors, whose sum is σ = 496751090940. Its totient is φ = 43552567296.

The previous prime is 152510479613. The next prime is 152510479643. The reversal of 152510479632 is 236974015251.

152510479632 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 1 + 0 + 4 + 7 + 9 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17083535616 + 135426944016 = 130704^2 + 368004^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18574344 + ... + 18582552.

It is an arithmetic number, because the mean of its divisors is an integer number (2759728283).

Almost surely, 2^152510479632 is an apocalyptic number.

152510479632 is a gapful number since it is divisible by the number (12) 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 152510479632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248375545470).

152510479632 is an abundant number, since it is smaller than the sum of its proper divisors (344240611308).

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

152510479632 is a wasteful number, since it uses less digits than its factorization.

152510479632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10870 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 1525104 and 79632, that added together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 152510479632 in words is "one hundred fifty-two billion, five hundred ten million, four hundred seventy-nine thousand, six hundred thirty-two".