153957334272 has 144 divisors (see below), whose sum is σ = 472584900480. Its totient is φ = 43584086016.

The previous prime is 153957334247. The next prime is 153957334273. The reversal of 153957334272 is 272433759351.

It is a super-2 number, since 2×153957334272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153957334273) 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, 454618 + ... + 717350.

Almost surely, 2^153957334272 is an apocalyptic number.

153957334272 is a gapful number since it is divisible by the number (12) 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 153957334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236292450240).

153957334272 is an abundant number, since it is smaller than the sum of its proper divisors (318627566208).

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

153957334272 is a wasteful number, since it uses less digits than its factorization.

153957334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262868 (or 262854 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 51.

The spelling of 153957334272 in words is "one hundred fifty-three billion, nine hundred fifty-seven million, three hundred thirty-four thousand, two hundred seventy-two".