153093937920 has 1728 divisors, whose sum is σ = 694574092800. Its totient is φ = 28240773120.

The previous prime is 153093937897. The next prime is 153093937973. The reversal of 153093937920 is 29739390351.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 668532366 + ... + 668532594.

It is an arithmetic number, because the mean of its divisors is an integer number (401952600).

Almost surely, 2^153093937920 is an apocalyptic number.

153093937920 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 153093937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347287046400).

153093937920 is an abundant number, since it is smaller than the sum of its proper divisors (541480154880).

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

153093937920 is a wasteful number, since it uses less digits than its factorization.

153093937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 51.

The spelling of 153093937920 in words is "one hundred fifty-three billion, ninety-three million, nine hundred thirty-seven thousand, nine hundred twenty".