153272964816 has 120 divisors (see below), whose sum is σ = 435381598080. Its totient is φ = 50329382400.

The previous prime is 153272964791. The next prime is 153272964851. The reversal of 153272964816 is 618469272351.

It is a happy number.

153272964816 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 72 + 96 + 481 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 3451071 + ... + 3495201.

It is an arithmetic number, because the mean of its divisors is an integer number (3628179984).

Almost surely, 2^153272964816 is an apocalyptic number.

153272964816 is a gapful number since it is divisible by the number (16) 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 153272964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217690799040).

153272964816 is an abundant number, since it is smaller than the sum of its proper divisors (282108633264).

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

153272964816 is a wasteful number, since it uses less digits than its factorization.

153272964816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44505 (or 44496 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 153272964816 in words is "one hundred fifty-three billion, two hundred seventy-two million, nine hundred sixty-four thousand, eight hundred sixteen".