34135152137 has 2 divisors, whose sum is σ = 34135152138. Its totient is φ = 34135152136.

The previous prime is 34135152133. The next prime is 34135152187. The reversal of 34135152137 is 73125153143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29980576201 + 4154575936 = 173149^2 + 64456^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135152137 - 2² = 34135152133 is a prime.

It is a super-2 number, since 2×34135152137² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34135152097 and 34135152106.

It is not a weakly prime, because it can be changed into another prime (34135152131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067576068 + 17067576069.

It is an arithmetic number, because the mean of its divisors is an integer number (17067576069).

Almost surely, 2^34135152137 is an apocalyptic number.

It is an amenable number.

34135152137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135152137 is an equidigital number, since it uses as much as digits as its factorization.

34135152137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37800, while the sum is 35.

The spelling of 34135152137 in words is "thirty-four billion, one hundred thirty-five million, one hundred fifty-two thousand, one hundred thirty-seven".