137042713 has 2 divisors, whose sum is σ = 137042714. Its totient is φ = 137042712.

The previous prime is 137042701. The next prime is 137042747. The reversal of 137042713 is 317240731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119836809 + 17205904 = 10947^2 + 4148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137042713 is a prime.

It is not a weakly prime, because it can be changed into another prime (137042513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68521356 + 68521357.

It is an arithmetic number, because the mean of its divisors is an integer number (68521357).

Almost surely, 2^137042713 is an apocalyptic number.

It is an amenable number.

137042713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137042713 is an equidigital number, since it uses as much as digits as its factorization.

137042713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 137042713 is about 11706.5243774572. The cubic root of 137042713 is about 515.5672425199.

The spelling of 137042713 in words is "one hundred thirty-seven million, forty-two thousand, seven hundred thirteen".