152356680 has 192 divisors, whose sum is σ = 590976000. Its totient is φ = 34812288.

The previous prime is 152356667. The next prime is 152356717. The reversal of 152356680 is 86653251.

152356680 is a `hidden beast` number, since 1 + 523 + 56 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51481 + ... + 54359.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2^152356680 is an apocalyptic number.

152356680 is a gapful number since it is divisible by the number (10) 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 152356680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295488000).

152356680 is an abundant number, since it is smaller than the sum of its proper divisors (438619320).

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

152356680 is a wasteful number, since it uses less digits than its factorization.

152356680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2896 counting only the distinct ones).

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

The square root of 152356680 is about 12343.2848140193. The cubic root of 152356680 is about 534.0974446588.

The spelling of 152356680 in words is "one hundred fifty-two million, three hundred fifty-six thousand, six hundred eighty".