137164000049 has 2 divisors, whose sum is σ = 137164000050. Its totient is φ = 137164000048.

The previous prime is 137164000033. The next prime is 137164000087. The reversal of 137164000049 is 940000461731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134113426225 + 3050573824 = 366215^2 + 55232^2 .

It is a cyclic number.

It is not a de Polignac number, because 137164000049 - 2⁴ = 137164000033 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137163999982 and 137164000018.

It is not a weakly prime, because it can be changed into another prime (137164005049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68582000024 + 68582000025.

It is an arithmetic number, because the mean of its divisors is an integer number (68582000025).

Almost surely, 2^137164000049 is an apocalyptic number.

It is an amenable number.

137164000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

137164000049 is an equidigital number, since it uses as much as digits as its factorization.

137164000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 137164000049 in words is "one hundred thirty-seven billion, one hundred sixty-four million, forty-nine", and thus it is an aban number.