153730368 has 168 divisors, whose sum is σ = 506394720. Its totient is φ = 44098560.

The previous prime is 153730351. The next prime is 153730393. The reversal of 153730368 is 863037351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119746 + ... + 121022.

Almost surely, 2^153730368 is an apocalyptic number.

153730368 is a gapful number since it is divisible by the number (18) 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 153730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253197360).

153730368 is an abundant number, since it is smaller than the sum of its proper divisors (352664352).

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

153730368 is a wasteful number, since it uses less digits than its factorization.

153730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 153730368 is about 12398.8051037187. The cubic root of 153730368 is about 535.6978322109.

The spelling of 153730368 in words is "one hundred fifty-three million, seven hundred thirty thousand, three hundred sixty-eight".