230125153600 has 168 divisors, whose sum is σ = 570853126008. Its totient is φ = 91304755200.

The previous prime is 230125153579. The next prime is 230125153613. The reversal of 230125153600 is 6351521032.

It can be written as a sum of positive squares in 12 ways, for example, as 20676139264 + 209449014336 = 143792^2 + 457656^2 .

It is a congruent number.

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, 177428152 + ... + 177429448.

Almost surely, 2^230125153600 is an apocalyptic number.

230125153600 is a gapful number since it is divisible by the number (20) 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 230125153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285426563004).

230125153600 is an abundant number, since it is smaller than the sum of its proper divisors (340727972408).

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

230125153600 is a wasteful number, since it uses less digits than its factorization.

230125153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 230125153600 its reverse (6351521032), we get a palindrome (236476674632).

The spelling of 230125153600 in words is "two hundred thirty billion, one hundred twenty-five million, one hundred fifty-three thousand, six hundred".