230134089120 has 768 divisors, whose sum is σ = 875684597760. Its totient is φ = 50187534336.

The previous prime is 230134089071. The next prime is 230134089161. The reversal of 230134089120 is 21980431032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457522789 + ... + 457523291.

It is an arithmetic number, because the mean of its divisors is an integer number (1140214320).

Almost surely, 2^230134089120 is an apocalyptic number.

230134089120 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 230134089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437842298880).

230134089120 is an abundant number, since it is smaller than the sum of its proper divisors (645550508640).

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

230134089120 is a wasteful number, since it uses less digits than its factorization.

230134089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 230134089120 in words is "two hundred thirty billion, one hundred thirty-four million, eighty-nine thousand, one hundred twenty".