138327860736 has 240 divisors, whose sum is σ = 443807844480. Its totient is φ = 41188884480.

The previous prime is 138327860719. The next prime is 138327860753. The reversal of 138327860736 is 637068723831.

138327860736 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 27 + 8 + 607 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (138327860719) and next prime (138327860753).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819780 + ... + 1894268.

It is an arithmetic number, because the mean of its divisors is an integer number (1849199352).

Almost surely, 2^138327860736 is an apocalyptic number.

138327860736 is a gapful number since it is divisible by the number (16) 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 138327860736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221903922240).

138327860736 is an abundant number, since it is smaller than the sum of its proper divisors (305479983744).

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

138327860736 is a wasteful number, since it uses less digits than its factorization.

138327860736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74557 (or 74538 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 138327860736 in words is "one hundred thirty-eight billion, three hundred twenty-seven million, eight hundred sixty thousand, seven hundred thirty-six".