230134432000 has 288 divisors, whose sum is σ = 633026669184. Its totient is φ = 82666496000.

The previous prime is 230134431983. The next prime is 230134432037. The reversal of 230134432000 is 234431032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29212062 + ... + 29219938.

It is an arithmetic number, because the mean of its divisors is an integer number (2198009268).

Almost surely, 2^230134432000 is an apocalyptic number.

230134432000 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 230134432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316513334592).

230134432000 is an abundant number, since it is smaller than the sum of its proper divisors (402892237184).

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

230134432000 is an equidigital number, since it uses as much as digits as its factorization.

230134432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 230134432000 its reverse (234431032), we get a palindrome (230368863032).

The spelling of 230134432000 in words is "two hundred thirty billion, one hundred thirty-four million, four hundred thirty-two thousand".