153265200 has 240 divisors, whose sum is σ = 567927936. Its totient is φ = 34918400.

The previous prime is 153265199. The next prime is 153265219. The reversal of 153265200 is 2562351.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224059 + ... + 224741.

Almost surely, 2^153265200 is an apocalyptic number.

153265200 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 153265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283963968).

153265200 is an abundant number, since it is smaller than the sum of its proper divisors (414662736).

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

153265200 is a wasteful number, since it uses less digits than its factorization.

153265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 153265200 is about 12380.0323101355. The cubic root of 153265200 is about 535.1569691094.

The spelling of 153265200 in words is "one hundred fifty-three million, two hundred sixty-five thousand, two hundred".