153031200 has 144 divisors (see below), whose sum is σ = 569338560. Its totient is φ = 34974720.

The previous prime is 153031189. The next prime is 153031243. The reversal of 153031200 is 2130351.

It is a happy number.

153031200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153031200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12246 + ... + 21354.

It is an arithmetic number, because the mean of its divisors is an integer number (3953740).

Almost surely, 2^153031200 is an apocalyptic number.

153031200 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 153031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284669280).

153031200 is an abundant number, since it is smaller than the sum of its proper divisors (416307360).

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

153031200 is a wasteful number, since it uses less digits than its factorization.

153031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 153031200 is about 12370.5779978140. The cubic root of 153031200 is about 534.8844773425.

Adding to 153031200 its reverse (2130351), we get a palindrome (155161551).

The spelling of 153031200 in words is "one hundred fifty-three million, thirty-one thousand, two hundred".