152038656 has 216 divisors, whose sum is σ = 547170624. Its totient is φ = 39444480.

The previous prime is 152038631. The next prime is 152038681. The reversal of 152038656 is 656830251.

152038656 is a `hidden beast` number, since 1 + 520 + 3 + 86 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (152038631) and next prime (152038681).

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 152038656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176980 + ... + 177836.

Almost surely, 2^152038656 is an apocalyptic number.

152038656 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 152038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273585312).

152038656 is an abundant number, since it is smaller than the sum of its proper divisors (395131968).

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

152038656 is a wasteful number, since it uses less digits than its factorization.

152038656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 152038656 is about 12330.3956140912. The cubic root of 152038656 is about 533.7255670212.

The spelling of 152038656 in words is "one hundred fifty-two million, thirty-eight thousand, six hundred fifty-six".