230137528320 has 608 divisors, whose sum is σ = 936166867200. Its totient is φ = 52546240512.

The previous prime is 230137528259. The next prime is 230137528337. The reversal of 230137528320 is 23825731032.

230137528320 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 375 + 283 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247725616 + ... + 247726544.

Almost surely, 2^230137528320 is an apocalyptic number.

230137528320 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 230137528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468083433600).

230137528320 is an abundant number, since it is smaller than the sum of its proper divisors (706029338880).

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

230137528320 is an frugal number, since it uses more digits than its factorization.

230137528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 230137528320 in words is "two hundred thirty billion, one hundred thirty-seven million, five hundred twenty-eight thousand, three hundred twenty".