10135364137 has 2 divisors, whose sum is σ = 10135364138. Its totient is φ = 10135364136.

The previous prime is 10135364131. The next prime is 10135364177. The reversal of 10135364137 is 73146353101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8016695296 + 2118668841 = 89536^2 + 46029^2 .

It is a cyclic number.

It is not a de Polignac number, because 10135364137 - 2²⁷ = 10001146409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10135364131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067682068 + 5067682069.

It is an arithmetic number, because the mean of its divisors is an integer number (5067682069).

Almost surely, 2^10135364137 is an apocalyptic number.

It is an amenable number.

10135364137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135364137 is an equidigital number, since it uses as much as digits as its factorization.

10135364137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 10135364137 in words is "ten billion, one hundred thirty-five million, three hundred sixty-four thousand, one hundred thirty-seven".