138259153324417 has 8 divisors (see below), whose sum is σ = 138398809400552. Its totient is φ = 138119499216000.

The previous prime is 138259153324333. The next prime is 138259153324441. The reversal of 138259153324417 is 714423351952831.

It can be written as a sum of positive squares in 4 ways, for example, as 41770162184256 + 96488991140161 = 6462984^2 + 9822881^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138259153324417 - 2¹⁹ = 138259152800129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138359153324417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169842667 + ... + 170654767.

It is an arithmetic number, because the mean of its divisors is an integer number (17299851175069).

Almost surely, 2^{138259153324417} is an apocalyptic number.

It is an amenable number.

138259153324417 is a deficient number, since it is larger than the sum of its proper divisors (139656076135).

138259153324417 is an equidigital number, since it uses as much as digits as its factorization.

138259153324417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983859.

The product of its digits is 21772800, while the sum is 58.

The spelling of 138259153324417 in words is "one hundred thirty-eight trillion, two hundred fifty-nine billion, one hundred fifty-three million, three hundred twenty-four thousand, four hundred seventeen".