138975310720 has 64 divisors (see below), whose sum is σ = 332624154240. Its totient is φ = 55525488640.

The previous prime is 138975310717. The next prime is 138975310757. The reversal of 138975310720 is 27013579831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426510 + ... + 678130.

It is an arithmetic number, because the mean of its divisors is an integer number (5197252410).

Almost surely, 2^138975310720 is an apocalyptic number.

138975310720 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 138975310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166312077120).

138975310720 is an abundant number, since it is smaller than the sum of its proper divisors (193648843520).

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

138975310720 is an equidigital number, since it uses as much as digits as its factorization.

138975310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252503 (or 252491 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 138975310720 in words is "one hundred thirty-eight billion, nine hundred seventy-five million, three hundred ten thousand, seven hundred twenty".