137496509 has 2 divisors, whose sum is σ = 137496510. Its totient is φ = 137496508.

The previous prime is 137496497. The next prime is 137496533. The reversal of 137496509 is 905694731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104755225 + 32741284 = 10235^2 + 5722^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137496509 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137496509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137496539) 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, 68748254 + 68748255.

It is an arithmetic number, because the mean of its divisors is an integer number (68748255).

Almost surely, 2^137496509 is an apocalyptic number.

It is an amenable number.

137496509 is a deficient number, since it is larger than the sum of its proper divisors (1).

137496509 is an equidigital number, since it uses as much as digits as its factorization.

137496509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 137496509 is about 11725.8905418736. The cubic root of 137496509 is about 516.1356895823.

The spelling of 137496509 in words is "one hundred thirty-seven million, four hundred ninety-six thousand, five hundred nine".