137437513 has 2 divisors, whose sum is σ = 137437514. Its totient is φ = 137437512.

The previous prime is 137437511. The next prime is 137437519. The reversal of 137437513 is 315734731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127870864 + 9566649 = 11308^2 + 3093^2 .

It is a cyclic number.

It is not a de Polignac number, because 137437513 - 2¹ = 137437511 is a prime.

Together with 137437511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137437511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68718756 + 68718757.

It is an arithmetic number, because the mean of its divisors is an integer number (68718757).

Almost surely, 2^137437513 is an apocalyptic number.

It is an amenable number.

137437513 is a deficient number, since it is larger than the sum of its proper divisors (1).

137437513 is an equidigital number, since it uses as much as digits as its factorization.

137437513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 34.

The square root of 137437513 is about 11723.3746421412. The cubic root of 137437513 is about 516.0618591084.

The spelling of 137437513 in words is "one hundred thirty-seven million, four hundred thirty-seven thousand, five hundred thirteen".