204832038138 has 128 divisors (see below), whose sum is σ = 508914696192. Its totient is φ = 53517977856.

The previous prime is 204832038119. The next prime is 204832038167. The reversal of 204832038138 is 831830238402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 204832038138.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59146995 + ... + 59150457.

It is an arithmetic number, because the mean of its divisors is an integer number (3975896064).

Almost surely, 2^204832038138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204832038138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254457348096).

204832038138 is an abundant number, since it is smaller than the sum of its proper divisors (304082658054).

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

204832038138 is a wasteful number, since it uses less digits than its factorization.

204832038138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468.

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 204832038138 in words is "two hundred four billion, eight hundred thirty-two million, thirty-eight thousand, one hundred thirty-eight".