137916509 has 2 divisors, whose sum is σ = 137916510. Its totient is φ = 137916508.

The previous prime is 137916503. The next prime is 137916517. The reversal of 137916509 is 905619731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137405284 + 511225 = 11722^2 + 715^2 .

It is a cyclic number.

It is not a de Polignac number, because 137916509 - 2⁸ = 137916253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137916503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68958254 + 68958255.

It is an arithmetic number, because the mean of its divisors is an integer number (68958255).

Almost surely, 2^137916509 is an apocalyptic number.

It is an amenable number.

137916509 is a deficient number, since it is larger than the sum of its proper divisors (1).

137916509 is an equidigital number, since it uses as much as digits as its factorization.

137916509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 137916509 is about 11743.7859738672. The cubic root of 137916509 is about 516.6606887041.

The spelling of 137916509 in words is "one hundred thirty-seven million, nine hundred sixteen thousand, five hundred nine".