138734692752 has 80 divisors (see below), whose sum is σ = 364572023040. Its totient is φ = 45451376256.

The previous prime is 138734692717. The next prime is 138734692753. The reversal of 138734692752 is 257296437831.

It is a junction number, because it is equal to n+sod(n) for n = 138734692692 and 138734692701.

It is not an unprimeable number, because it can be changed into a prime (138734692753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375999 + ... + 1473377.

It is an arithmetic number, because the mean of its divisors is an integer number (4557150288).

Almost surely, 2^138734692752 is an apocalyptic number.

138734692752 is a gapful number since it is divisible by the number (12) 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 138734692752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182286011520).

138734692752 is an abundant number, since it is smaller than the sum of its proper divisors (225837330288).

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

138734692752 is a wasteful number, since it uses less digits than its factorization.

138734692752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97900 (or 97894 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 138734692752 in words is "one hundred thirty-eight billion, seven hundred thirty-four million, six hundred ninety-two thousand, seven hundred fifty-two".