153130560 has 224 divisors, whose sum is σ = 562246272. Its totient is φ = 34897920.

The previous prime is 153130553. The next prime is 153130561. The reversal of 153130560 is 65031351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153130560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153130561) 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, 179094 + ... + 179946.

It is an arithmetic number, because the mean of its divisors is an integer number (2510028).

Almost surely, 2^153130560 is an apocalyptic number.

153130560 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 153130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281123136).

153130560 is an abundant number, since it is smaller than the sum of its proper divisors (409115712).

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

153130560 is a wasteful number, since it uses less digits than its factorization.

153130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 153130560 is about 12374.5933266512. The cubic root of 153130560 is about 535.0002154481. Note that the first 3 decimals are identical.

The spelling of 153130560 in words is "one hundred fifty-three million, one hundred thirty thousand, five hundred sixty".