138117829114073 has 2 divisors, whose sum is σ = 138117829114074. Its totient is φ = 138117829114072.

The previous prime is 138117829114051. The next prime is 138117829114123. The reversal of 138117829114073 is 370411928711831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132811495725769 + 5306333388304 = 11524387^2 + 2303548^2 .

It is a cyclic number.

It is not a de Polignac number, because 138117829114073 - 2¹⁰ = 138117829113049 is a prime.

It is not a weakly prime, because it can be changed into another prime (138117829114033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69058914557036 + 69058914557037.

It is an arithmetic number, because the mean of its divisors is an integer number (69058914557037).

Almost surely, 2^{138117829114073} is an apocalyptic number.

It is an amenable number.

138117829114073 is a deficient number, since it is larger than the sum of its proper divisors (1).

138117829114073 is an equidigital number, since it uses as much as digits as its factorization.

138117829114073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 56.

The spelling of 138117829114073 in words is "one hundred thirty-eight trillion, one hundred seventeen billion, eight hundred twenty-nine million, one hundred fourteen thousand, seventy-three".