138937329796608 has 320 divisors, whose sum is σ = 470049909880320. Its totient is φ = 39693530013696.

The previous prime is 138937329796597. The next prime is 138937329796691. The reversal of 138937329796608 is 806697923739831.

138937329796608 is a `hidden beast` number, since 1 + 3 + 89 + 373 + 29 + 7 + 96 + 60 + 8 = 666.

It is a super-2 number, since 2×138937329796608² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606595866 + ... + 1606682342.

It is an arithmetic number, because the mean of its divisors is an integer number (1468905968376).

Almost surely, 2^{138937329796608} is an apocalyptic number.

138937329796608 is a gapful number since it is divisible by the number (18) 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 138937329796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235024954940160).

138937329796608 is an abundant number, since it is smaller than the sum of its proper divisors (331112580083712).

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

138937329796608 is an equidigital number, since it uses as much as digits as its factorization.

138937329796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103114 (or 103092 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 138937329796608 in words is "one hundred thirty-eight trillion, nine hundred thirty-seven billion, three hundred twenty-nine million, seven hundred ninety-six thousand, six hundred eight".