153153251416032 has 96 divisors (see below), whose sum is σ = 459705327105024. Its totient is φ = 43734683942400.

The previous prime is 153153251415991. The next prime is 153153251416079. The reversal of 153153251416032 is 230614152351351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59647719 + ... + 62162342.

It is an arithmetic number, because the mean of its divisors is an integer number (4788597157344).

Almost surely, 2^{153153251416032} is an apocalyptic number.

153153251416032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153153251416032 is an abundant number, since it is smaller than the sum of its proper divisors (306552075688992).

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

153153251416032 is a wasteful number, since it uses less digits than its factorization.

153153251416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121811952 (or 121811944 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 153153251416032 in words is "one hundred fifty-three trillion, one hundred fifty-three billion, two hundred fifty-one million, four hundred sixteen thousand, thirty-two".