153132560 has 80 divisors (see below), whose sum is σ = 420068352. Its totient is φ = 50803200.

The previous prime is 153132559. The next prime is 153132601. The reversal of 153132560 is 65231351.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12950 + ... + 21770.

Almost surely, 2^153132560 is an apocalyptic number.

153132560 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 153132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210034176).

153132560 is an abundant number, since it is smaller than the sum of its proper divisors (266935792).

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

153132560 is a wasteful number, since it uses less digits than its factorization.

153132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 153132560 is about 12374.6741371238. The cubic root of 153132560 is about 535.0025446061.

The spelling of 153132560 in words is "one hundred fifty-three million, one hundred thirty-two thousand, five hundred sixty".