34001072137 has 2 divisors, whose sum is σ = 34001072138. Its totient is φ = 34001072136.

The previous prime is 34001072117. The next prime is 34001072143. The reversal of 34001072137 is 73127010043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31210168896 + 2790903241 = 176664^2 + 52829^2 .

It is an emirp because it is prime and its reverse (73127010043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34001072137 - 2¹⁹ = 34000547849 is a prime.

It is not a weakly prime, because it can be changed into another prime (34001072117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000536068 + 17000536069.

It is an arithmetic number, because the mean of its divisors is an integer number (17000536069).

Almost surely, 2^34001072137 is an apocalyptic number.

It is an amenable number.

34001072137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001072137 is an equidigital number, since it uses as much as digits as its factorization.

34001072137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 34001072137 in words is "thirty-four billion, one million, seventy-two thousand, one hundred thirty-seven".