230134000032 has 288 divisors, whose sum is σ = 680585068800. Its totient is φ = 73722894336.

The previous prime is 230134000021. The next prime is 230134000049. The reversal of 230134000032 is 230000431032.

230134000032 is a `hidden beast` number, since 230 + 1 + 3 + 400 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230133999969 and 230134000014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167613298 + ... + 167614670.

It is an arithmetic number, because the mean of its divisors is an integer number (2363142600).

Almost surely, 2^230134000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230134000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340292534400).

230134000032 is an abundant number, since it is smaller than the sum of its proper divisors (450451068768).

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

230134000032 is a wasteful number, since it uses less digits than its factorization.

230134000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230134000032 its reverse (230000431032), we get a palindrome (460134431064).

The spelling of 230134000032 in words is "two hundred thirty billion, one hundred thirty-four million, thirty-two", and thus it is an aban number.