13832838138 has 64 divisors (see below), whose sum is σ = 32260965120. Its totient is φ = 3872074752.

The previous prime is 13832838101. The next prime is 13832838139. The reversal of 13832838138 is 83183823831.

13832838138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13832838139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1680978 + ... + 1689186.

It is an arithmetic number, because the mean of its divisors is an integer number (504077580).

Almost surely, 2^13832838138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832838138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130482560).

13832838138 is an abundant number, since it is smaller than the sum of its proper divisors (18428126982).

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

13832838138 is a wasteful number, since it uses less digits than its factorization.

13832838138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031.

The product of its digits is 663552, while the sum is 48.

The spelling of 13832838138 in words is "thirteen billion, eight hundred thirty-two million, eight hundred thirty-eight thousand, one hundred thirty-eight".