153300560 has 80 divisors (see below), whose sum is σ = 431329536. Its totient is φ = 49465344.

The previous prime is 153300551. The next prime is 153300571. The reversal of 153300560 is 65003351.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469 + ... + 17571.

Almost surely, 2^153300560 is an apocalyptic number.

153300560 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 153300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215664768).

153300560 is an abundant number, since it is smaller than the sum of its proper divisors (278028976).

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

153300560 is a wasteful number, since it uses less digits than its factorization.

153300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16140 (or 16134 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 153300560 is about 12381.4603339025. The cubic root of 153300560 is about 535.1981215158.

The spelling of 153300560 in words is "one hundred fifty-three million, three hundred thousand, five hundred sixty".