138013677000 has 192 divisors, whose sum is σ = 466915363200. Its totient is φ = 36769795200.

The previous prime is 138013676993. The next prime is 138013677017. The reversal of 138013677000 is 776310831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10676541 + ... + 10689459.

It is an arithmetic number, because the mean of its divisors is an integer number (2431850850).

Almost surely, 2^138013677000 is an apocalyptic number.

138013677000 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 138013677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233457681600).

138013677000 is an abundant number, since it is smaller than the sum of its proper divisors (328901686200).

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

138013677000 is a wasteful number, since it uses less digits than its factorization.

138013677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 138013677000 its reverse (776310831), we get a palindrome (138789987831).

The spelling of 138013677000 in words is "one hundred thirty-eight billion, thirteen million, six hundred seventy-seven thousand".