137133701 has 2 divisors, whose sum is σ = 137133702. Its totient is φ = 137133700.

The previous prime is 137133629. The next prime is 137133709. The reversal of 137133701 is 107331731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78304801 + 58828900 = 8849^2 + 7670^2 .

It is a cyclic number.

It is not a de Polignac number, because 137133701 - 2¹⁸ = 136871557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137133709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68566850 + 68566851.

It is an arithmetic number, because the mean of its divisors is an integer number (68566851).

Almost surely, 2^137133701 is an apocalyptic number.

It is an amenable number.

137133701 is a deficient number, since it is larger than the sum of its proper divisors (1).

137133701 is an equidigital number, since it uses as much as digits as its factorization.

137133701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 137133701 is about 11710.4099415862. The cubic root of 137133701 is about 515.6813190078.

The spelling of 137133701 in words is "one hundred thirty-seven million, one hundred thirty-three thousand, seven hundred one".