137813009 has 2 divisors, whose sum is σ = 137813010. Its totient is φ = 137813008.

The previous prime is 137813003. The next prime is 137813021. The reversal of 137813009 is 900318731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89718784 + 48094225 = 9472^2 + 6935^2 .

It is a cyclic number.

It is not a de Polignac number, because 137813009 - 2²⁴ = 121035793 is a prime.

It is not a weakly prime, because it can be changed into another prime (137813003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68906504 + 68906505.

It is an arithmetic number, because the mean of its divisors is an integer number (68906505).

Almost surely, 2^137813009 is an apocalyptic number.

It is an amenable number.

137813009 is a deficient number, since it is larger than the sum of its proper divisors (1).

137813009 is an equidigital number, since it uses as much as digits as its factorization.

137813009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 137813009 is about 11739.3785610653. The cubic root of 137813009 is about 516.5314129949.

The spelling of 137813009 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, nine".