153080928 has 480 divisors, whose sum is σ = 614718720. Its totient is φ = 36080640.

The previous prime is 153080911. The next prime is 153080947. The reversal of 153080928 is 829080351.

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

It is a junction number, because it is equal to n+sod(n) for n = 153080892 and 153080901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594563 + ... + 2594621.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 2^153080928 is an apocalyptic number.

153080928 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 153080928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360).

153080928 is an abundant number, since it is smaller than the sum of its proper divisors (461637792).

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

153080928 is a wasteful number, since it uses less digits than its factorization.

153080928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 153080928 is about 12372.5877648938. The cubic root of 153080928 is about 534.9424085676.

The spelling of 153080928 in words is "one hundred fifty-three million, eighty thousand, nine hundred twenty-eight".