138117829114056 has 64 divisors (see below), whose sum is σ = 379651012116480. Its totient is φ = 41524329430080.

The previous prime is 138117829114051. The next prime is 138117829114073. The reversal of 138117829114056 is 650411928711831.

It is a super-2 number, since 2×138117829114056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138117829113987 and 138117829114005.

It is not an unprimeable number, because it can be changed into a prime (138117829114051) 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, 2059705036 + ... + 2059772091.

It is an arithmetic number, because the mean of its divisors is an integer number (5932047064320).

It is a 1-persistent number, because it is pandigital, but 2⋅138117829114056 = 276235658228112 is not.

Almost surely, 2^{138117829114056} is an apocalyptic number.

It is an amenable number.

138117829114056 is an abundant number, since it is smaller than the sum of its proper divisors (241533183002424).

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

138117829114056 is a wasteful number, since it uses less digits than its factorization.

138117829114056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119477274 (or 4119477270 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 138117829114056 in words is "one hundred thirty-eight trillion, one hundred seventeen billion, eight hundred twenty-nine million, one hundred fourteen thousand, fifty-six".