153490920 has 192 divisors, whose sum is σ = 523350720. Its totient is φ = 36009600.

The previous prime is 153490879. The next prime is 153490973. The reversal of 153490920 is 29094351.

153490920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4951305 + ... + 4951335.

It is an arithmetic number, because the mean of its divisors is an integer number (2725785).

Almost surely, 2^153490920 is an apocalyptic number.

153490920 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 153490920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261675360).

153490920 is an abundant number, since it is smaller than the sum of its proper divisors (369859800).

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

153490920 is a wasteful number, since it uses less digits than its factorization.

153490920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 153490920 is about 12389.1452489669. The cubic root of 153490920 is about 535.4195561792.

The spelling of 153490920 in words is "one hundred fifty-three million, four hundred ninety thousand, nine hundred twenty".