153420960 has 288 divisors, whose sum is σ = 614319552. Its totient is φ = 31825920.

The previous prime is 153420931. The next prime is 153421001. The reversal of 153420960 is 69024351.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 258424 + ... + 259016.

It is an arithmetic number, because the mean of its divisors is an integer number (2133054).

Almost surely, 2^153420960 is an apocalyptic number.

153420960 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 153420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307159776).

153420960 is an abundant number, since it is smaller than the sum of its proper divisors (460898592).

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

153420960 is a wasteful number, since it uses less digits than its factorization.

153420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 153420960 is about 12386.3214878349. The cubic root of 153420960 is about 535.3381970895.

The spelling of 153420960 in words is "one hundred fifty-three million, four hundred twenty thousand, nine hundred sixty".