34135242137 has 2 divisors, whose sum is σ = 34135242138. Its totient is φ = 34135242136.

The previous prime is 34135242079. The next prime is 34135242187. The reversal of 34135242137 is 73124253143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33710428816 + 424813321 = 183604^2 + 20611^2 .

It is an emirp because it is prime and its reverse (73124253143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34135242137 - 2²⁸ = 33866806681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34135242097 and 34135242106.

It is not a weakly prime, because it can be changed into another prime (34135242187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067621068 + 17067621069.

It is an arithmetic number, because the mean of its divisors is an integer number (17067621069).

Almost surely, 2^34135242137 is an apocalyptic number.

It is an amenable number.

34135242137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135242137 is an equidigital number, since it uses as much as digits as its factorization.

34135242137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60480, while the sum is 35.

The spelling of 34135242137 in words is "thirty-four billion, one hundred thirty-five million, two hundred forty-two thousand, one hundred thirty-seven".