137486113 has 2 divisors, whose sum is σ = 137486114. Its totient is φ = 137486112.

The previous prime is 137486101. The next prime is 137486137. The reversal of 137486113 is 311684731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115283169 + 22202944 = 10737^2 + 4712^2 .

It is an emirp because it is prime and its reverse (311684731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137486113 - 2¹⁷ = 137355041 is a prime.

It is not a weakly prime, because it can be changed into another prime (137486183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68743056 + 68743057.

It is an arithmetic number, because the mean of its divisors is an integer number (68743057).

Almost surely, 2^137486113 is an apocalyptic number.

It is an amenable number.

137486113 is a deficient number, since it is larger than the sum of its proper divisors (1).

137486113 is an equidigital number, since it uses as much as digits as its factorization.

137486113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 137486113 is about 11725.4472409371. The cubic root of 137486113 is about 516.1226810535.

The spelling of 137486113 in words is "one hundred thirty-seven million, four hundred eighty-six thousand, one hundred thirteen".