153136960 has 112 divisors (see below), whose sum is σ = 389534400. Its totient is φ = 57176064.

The previous prime is 153136933. The next prime is 153136961. The reversal of 153136960 is 69631351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153136961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540979 + ... + 541261.

Almost surely, 2^153136960 is an apocalyptic number.

153136960 is a gapful number since it is divisible by the number (10) 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 153136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194767200).

153136960 is an abundant number, since it is smaller than the sum of its proper divisors (236397440).

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

153136960 is a wasteful number, since it uses less digits than its factorization.

153136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 153136960 is about 12374.8519183059. The cubic root of 153136960 is about 535.0076686821.

The spelling of 153136960 in words is "one hundred fifty-three million, one hundred thirty-six thousand, nine hundred sixty".