138859338693120 has 160 divisors (see below), whose sum is σ = 449264335367232. Its totient is φ = 36583022395392.

The previous prime is 138859338693113. The next prime is 138859338693157. The reversal of 138859338693120 is 21396833958831.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×138859338693120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108282097 + ... + 109556976.

Almost surely, 2^{138859338693120} is an apocalyptic number.

138859338693120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138859338693120 is an abundant number, since it is smaller than the sum of its proper divisors (310404996674112).

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

138859338693120 is an equidigital number, since it uses as much as digits as its factorization.

138859338693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217839182 (or 217839166 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 69.

The spelling of 138859338693120 in words is "one hundred thirty-eight trillion, eight hundred fifty-nine billion, three hundred thirty-eight million, six hundred ninety-three thousand, one hundred twenty".