137286113 has 2 divisors, whose sum is σ = 137286114. Its totient is φ = 137286112.

The previous prime is 137286109. The next prime is 137286131. The reversal of 137286113 is 311682731.

Together with next prime (137286131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137077264 + 208849 = 11708^2 + 457^2 .

It is an emirp because it is prime and its reverse (311682731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137286113 - 2² = 137286109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137286113.

It is not a weakly prime, because it can be changed into another prime (137286133) 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, 68643056 + 68643057.

It is an arithmetic number, because the mean of its divisors is an integer number (68643057).

Almost surely, 2^137286113 is an apocalyptic number.

It is an amenable number.

137286113 is a deficient number, since it is larger than the sum of its proper divisors (1).

137286113 is an equidigital number, since it uses as much as digits as its factorization.

137286113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 137286113 is about 11716.9156777712. The cubic root of 137286113 is about 515.8722930258.

The spelling of 137286113 in words is "one hundred thirty-seven million, two hundred eighty-six thousand, one hundred thirteen".