34729157137 has 2 divisors, whose sum is σ = 34729157138. Its totient is φ = 34729157136.

The previous prime is 34729157093. The next prime is 34729157173. The reversal of 34729157137 is 73175192743.

It is a happy number.

Together with next prime (34729157173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31825132816 + 2904024321 = 178396^2 + 53889^2 .

It is an emirp because it is prime and its reverse (73175192743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34729157137 - 2²³ = 34720768529 is a prime.

It is a super-2 number, since 2×34729157137² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34729157737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17364578568 + 17364578569.

It is an arithmetic number, because the mean of its divisors is an integer number (17364578569).

Almost surely, 2^34729157137 is an apocalyptic number.

It is an amenable number.

34729157137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34729157137 is an equidigital number, since it uses as much as digits as its factorization.

34729157137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1111320, while the sum is 49.

The spelling of 34729157137 in words is "thirty-four billion, seven hundred twenty-nine million, one hundred fifty-seven thousand, one hundred thirty-seven".