152564256 has 288 divisors, whose sum is σ = 519886080. Its totient is φ = 43241472.

The previous prime is 152564249. The next prime is 152564257. The reversal of 152564256 is 652465251.

152564256 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 642 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 152564256.

It is not an unprimeable number, because it can be changed into a prime (152564257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3246025 + ... + 3246071.

It is an arithmetic number, because the mean of its divisors is an integer number (1805160).

Almost surely, 2^152564256 is an apocalyptic number.

152564256 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 152564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259943040).

152564256 is an abundant number, since it is smaller than the sum of its proper divisors (367321824).

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

152564256 is a wasteful number, since it uses less digits than its factorization.

152564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 152564256 is about 12351.6904106280. The cubic root of 152564256 is about 534.3398921841.

The spelling of 152564256 in words is "one hundred fifty-two million, five hundred sixty-four thousand, two hundred fifty-six".