34013465137 has 2 divisors, whose sum is σ = 34013465138. Its totient is φ = 34013465136.

The previous prime is 34013465111. The next prime is 34013465159. The reversal of 34013465137 is 73156431043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33261005376 + 752459761 = 182376^2 + 27431^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013465137 - 2¹¹ = 34013463089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34013465096 and 34013465105.

It is not a weakly prime, because it can be changed into another prime (34013465177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006732568 + 17006732569.

It is an arithmetic number, because the mean of its divisors is an integer number (17006732569).

Almost surely, 2^34013465137 is an apocalyptic number.

It is an amenable number.

34013465137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013465137 is an equidigital number, since it uses as much as digits as its factorization.

34013465137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 34013465137 in words is "thirty-four billion, thirteen million, four hundred sixty-five thousand, one hundred thirty-seven".