153204800 has 84 divisors (see below), whose sum is σ = 430865280. Its totient is φ = 52523520.

The previous prime is 153204787. The next prime is 153204811. The reversal of 153204800 is 8402351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4361 + ... + 18039.

Almost surely, 2^153204800 is an apocalyptic number.

153204800 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 153204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432640).

153204800 is an abundant number, since it is smaller than the sum of its proper divisors (277660480).

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

153204800 is a wasteful number, since it uses less digits than its factorization.

153204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708 (or 13693 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 153204800 is about 12377.5926577021. The cubic root of 153204800 is about 535.0866601983.

The spelling of 153204800 in words is "one hundred fifty-three million, two hundred four thousand, eight hundred".