138971017104 has 80 divisors (see below), whose sum is σ = 380438150400. Its totient is φ = 43563018240.

The previous prime is 138971017091. The next prime is 138971017181. The reversal of 138971017104 is 401710179831.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 935322 + ... + 1073670.

It is an arithmetic number, because the mean of its divisors is an integer number (4755476880).

Almost surely, 2^138971017104 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 138971017104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190219075200).

138971017104 is an abundant number, since it is smaller than the sum of its proper divisors (241467133296).

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

138971017104 is a wasteful number, since it uses less digits than its factorization.

138971017104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139608 (or 139602 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 138971017104 in words is "one hundred thirty-eight billion, nine hundred seventy-one million, seventeen thousand, one hundred four".