152996256 has 192 divisors, whose sum is σ = 523272960. Its totient is φ = 42577920.

The previous prime is 152996231. The next prime is 152996269. The reversal of 152996256 is 652699251.

It is a happy number.

152996256 is a `hidden beast` number, since 15 + 2 + 9 + 9 + 625 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 247660 + ... + 248276.

It is an arithmetic number, because the mean of its divisors is an integer number (2725380).

Almost surely, 2^152996256 is an apocalyptic number.

152996256 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 152996256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261636480).

152996256 is an abundant number, since it is smaller than the sum of its proper divisors (370276704).

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

152996256 is a wasteful number, since it uses less digits than its factorization.

152996256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 152996256 is about 12369.1655336971. The cubic root of 152996256 is about 534.8437614056.

The spelling of 152996256 in words is "one hundred fifty-two million, nine hundred ninety-six thousand, two hundred fifty-six".