153125813019136 has 320 divisors, whose sum is σ = 332051477345280. Its totient is φ = 70405226496000.

The previous prime is 153125813019121. The next prime is 153125813019163. The reversal of 153125813019136 is 631910318521351.

It is a super-2 number, since 2×153125813019136² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153125813019136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3880414446 + ... + 3880453906.

It is an arithmetic number, because the mean of its divisors is an integer number (1037660866704).

Almost surely, 2^{153125813019136} is an apocalyptic number.

153125813019136 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 153125813019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166025738672640).

153125813019136 is an abundant number, since it is smaller than the sum of its proper divisors (178925664326144).

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

153125813019136 is an equidigital number, since it uses as much as digits as its factorization.

153125813019136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39707 (or 39691 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 153125813019136 in words is "one hundred fifty-three trillion, one hundred twenty-five billion, eight hundred thirteen million, nineteen thousand, one hundred thirty-six".