153481920 has 224 divisors, whose sum is σ = 521208000. Its totient is φ = 38191104.

The previous prime is 153481879. The next prime is 153481927. The reversal of 153481920 is 29184351.

It is not an unprimeable number, because it can be changed into a prime (153481927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030006 + ... + 1030154.

Almost surely, 2^153481920 is an apocalyptic number.

153481920 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 153481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260604000).

153481920 is an abundant number, since it is smaller than the sum of its proper divisors (367726080).

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

153481920 is a wasteful number, since it uses less digits than its factorization.

153481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 153481920 is about 12388.7820224589. The cubic root of 153481920 is about 535.4090911298.

The spelling of 153481920 in words is "one hundred fifty-three million, four hundred eighty-one thousand, nine hundred twenty".