153120168 has 48 divisors (see below), whose sum is σ = 416707200. Its totient is φ = 50793120.

The previous prime is 153120137. The next prime is 153120179. The reversal of 153120168 is 861021351.

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 11 ways as a sum of consecutive naturals, for example, 10153 + ... + 20231.

It is an arithmetic number, because the mean of its divisors is an integer number (8681400).

Almost surely, 2^153120168 is an apocalyptic number.

153120168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

153120168 is an abundant number, since it is smaller than the sum of its proper divisors (263587032).

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

153120168 is a wasteful number, since it uses less digits than its factorization.

153120168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 153120168 is about 12374.1734269405. The cubic root of 153120168 is about 534.9881128171.

The spelling of 153120168 in words is "one hundred fifty-three million, one hundred twenty thousand, one hundred sixty-eight".