1000167600137 has 2 divisors, whose sum is σ = 1000167600138. Its totient is φ = 1000167600136.

The previous prime is 1000167600079. The next prime is 1000167600181. The reversal of 1000167600137 is 7310067610001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 744223683856 + 255943916281 = 862684^2 + 505909^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000167600137 - 2¹² = 1000167596041 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000167600037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500083800068 + 500083800069.

It is an arithmetic number, because the mean of its divisors is an integer number (500083800069).

Almost surely, 2^{1000167600137} is an apocalyptic number.

It is an amenable number.

1000167600137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000167600137 is an equidigital number, since it uses as much as digits as its factorization.

1000167600137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 1000167600137 in words is "one trillion, one hundred sixty-seven million, six hundred thousand, one hundred thirty-seven".