138000000000 has 440 divisors, whose sum is σ = 479765575872. Its totient is φ = 35200000000.

The previous prime is 137999999989. The next prime is 138000000001. The reversal of 138000000000 is 831.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (138000000001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5999999989 + ... + 6000000011.

Almost surely, 2^138000000000 is an apocalyptic number.

138000000000 is a gapful number since it is divisible by the number (10) 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 138000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239882787936).

138000000000 is an abundant number, since it is smaller than the sum of its proper divisors (341765575872).

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

138000000000 is an frugal number, since it uses more digits than its factorization.

138000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 138000000000 its reverse (831), we get a palindrome (138000000831).

The spelling of 138000000000 in words is "one hundred thirty-eight billion", and thus it is an aban number.