152581968 has 300 divisors, whose sum is σ = 558748960. Its totient is φ = 39346560.

The previous prime is 152581937. The next prime is 152581993. The reversal of 152581968 is 869185251.

It is a happy number.

152581968 is a `hidden beast` number, since 1 + 5 + 2 + 581 + 9 + 68 = 666.

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 59 ways as a sum of consecutive naturals, for example, 1097643 + ... + 1097781.

Almost surely, 2^152581968 is an apocalyptic number.

152581968 is a gapful number since it is divisible by the number (18) 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 152581968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279374480).

152581968 is an abundant number, since it is smaller than the sum of its proper divisors (406166992).

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

152581968 is a wasteful number, since it uses less digits than its factorization.

152581968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 152581968 is about 12352.4073767019. The cubic root of 152581968 is about 534.3605695087.

The spelling of 152581968 in words is "one hundred fifty-two million, five hundred eighty-one thousand, nine hundred sixty-eight".