137709713 has 2 divisors, whose sum is σ = 137709714. Its totient is φ = 137709712.

The previous prime is 137709709. The next prime is 137709721. The reversal of 137709713 is 317907731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79156609 + 58553104 = 8897^2 + 7652^2 .

It is an emirp because it is prime and its reverse (317907731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137709713 - 2² = 137709709 is a prime.

It is not a weakly prime, because it can be changed into another prime (137709743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68854856 + 68854857.

It is an arithmetic number, because the mean of its divisors is an integer number (68854857).

Almost surely, 2^137709713 is an apocalyptic number.

It is an amenable number.

137709713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137709713 is an equidigital number, since it uses as much as digits as its factorization.

137709713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27783, while the sum is 38.

The square root of 137709713 is about 11734.9781848966. The cubic root of 137709713 is about 516.4023275395.

The spelling of 137709713 in words is "one hundred thirty-seven million, seven hundred nine thousand, seven hundred thirteen".