137908993 has 2 divisors, whose sum is σ = 137908994. Its totient is φ = 137908992.

The previous prime is 137908963. The next prime is 137908997. The reversal of 137908993 is 399809731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82137969 + 55771024 = 9063^2 + 7468^2 .

It is a cyclic number.

It is not a de Polignac number, because 137908993 - 2⁵ = 137908961 is a prime.

It is not a weakly prime, because it can be changed into another prime (137908997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68954496 + 68954497.

It is an arithmetic number, because the mean of its divisors is an integer number (68954497).

Almost surely, 2^137908993 is an apocalyptic number.

It is an amenable number.

137908993 is a deficient number, since it is larger than the sum of its proper divisors (1).

137908993 is an equidigital number, since it uses as much as digits as its factorization.

137908993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 49.

The square root of 137908993 is about 11743.4659704876. The cubic root of 137908993 is about 516.6513030927.

The spelling of 137908993 in words is "one hundred thirty-seven million, nine hundred eight thousand, nine hundred ninety-three".