34245500642137 has 2 divisors, whose sum is σ = 34245500642138. Its totient is φ = 34245500642136.

The previous prime is 34245500642081. The next prime is 34245500642147. The reversal of 34245500642137 is 73124600554243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20005904057616 + 14239596584521 = 4472796^2 + 3773539^2 .

It is a cyclic number.

It is not a de Polignac number, because 34245500642137 - 2¹⁹ = 34245500117849 is a prime.

It is not a weakly prime, because it can be changed into another prime (34245500642147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17122750321068 + 17122750321069.

It is an arithmetic number, because the mean of its divisors is an integer number (17122750321069).

Almost surely, 2^{34245500642137} is an apocalyptic number.

It is an amenable number.

34245500642137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34245500642137 is an equidigital number, since it uses as much as digits as its factorization.

34245500642137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 34245500642137 in words is "thirty-four trillion, two hundred forty-five billion, five hundred million, six hundred forty-two thousand, one hundred thirty-seven".