153005600 has 72 divisors (see below), whose sum is σ = 407505168. Its totient is φ = 55635200.

The previous prime is 153005599. The next prime is 153005609. The reversal of 153005600 is 6500351.

153005600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (153005609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (5659794).

Almost surely, 2^153005600 is an apocalyptic number.

153005600 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 153005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203752584).

153005600 is an abundant number, since it is smaller than the sum of its proper divisors (254499568).

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

153005600 is a wasteful number, since it uses less digits than its factorization.

153005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17418 (or 17405 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 153005600 is about 12369.5432413651. The cubic root of 153005600 is about 534.8546494245.

Adding to 153005600 its reverse (6500351), we get a palindrome (159505951).

The spelling of 153005600 in words is "one hundred fifty-three million, five thousand, six hundred".