153507968 has 32 divisors (see below), whose sum is σ = 314091660. Its totient is φ = 74677248.

The previous prime is 153507953. The next prime is 153507983. The reversal of 153507968 is 869705351.

It is an interprime number because it is at equal distance from previous prime (153507953) and next prime (153507983).

It can be written as a sum of positive squares in 2 ways, for example, as 122058304 + 31449664 = 11048^2 + 5608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11471 + ... + 20942.

Almost surely, 2^153507968 is an apocalyptic number.

It is an amenable number.

153507968 is an abundant number, since it is smaller than the sum of its proper divisors (160583692).

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

153507968 is an equidigital number, since it uses as much as digits as its factorization.

153507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32464 (or 32452 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 153507968 is about 12389.8332515010. The cubic root of 153507968 is about 535.4393781871.

The spelling of 153507968 in words is "one hundred fifty-three million, five hundred seven thousand, nine hundred sixty-eight".