152564832 has 216 divisors, whose sum is σ = 532186200. Its totient is φ = 41223168.

The previous prime is 152564831. The next prime is 152564837. The reversal of 152564832 is 238465251.

152564832 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 648 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152564831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267844 + ... + 268412.

It is an arithmetic number, because the mean of its divisors is an integer number (2463825).

Almost surely, 2^152564832 is an apocalyptic number.

152564832 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 152564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266093100).

152564832 is an abundant number, since it is smaller than the sum of its proper divisors (379621368).

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

152564832 is a wasteful number, since it uses less digits than its factorization.

152564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 600 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 152564832 is about 12351.7137272526. The cubic root of 152564832 is about 534.3405646426.

The spelling of 152564832 in words is "one hundred fifty-two million, five hundred sixty-four thousand, eight hundred thirty-two".