152951968 has 24 divisors (see below), whose sum is σ = 324288468. Its totient is φ = 70593024.

The previous prime is 152951947. The next prime is 152951971. The reversal of 152951968 is 869159251.

It can be written as a sum of positive squares in 2 ways, for example, as 152473104 + 478864 = 12348^2 + 692^2 .

It is a Smith number, since the sum of its digits (46) 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183421 + ... + 184252.

Almost surely, 2^152951968 is an apocalyptic number.

It is an amenable number.

152951968 is an abundant number, since it is smaller than the sum of its proper divisors (171336500).

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

152951968 is a wasteful number, since it uses less digits than its factorization.

152951968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367696 (or 367688 counting only the distinct ones).

The product of its digits is 194400, while the sum is 46.

The square root of 152951968 is about 12367.3751459232. The cubic root of 152951968 is about 534.7921491482.

The spelling of 152951968 in words is "one hundred fifty-two million, nine hundred fifty-one thousand, nine hundred sixty-eight".