137278613 has 2 divisors, whose sum is σ = 137278614. Its totient is φ = 137278612.

The previous prime is 137278579. The next prime is 137278627. The reversal of 137278613 is 316872731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135094129 + 2184484 = 11623^2 + 1478^2 .

It is a cyclic number.

It is not a de Polignac number, because 137278613 - 2²⁴ = 120501397 is a prime.

It is a super-3 number, since 3×137278613³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137278313) 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, 68639306 + 68639307.

It is an arithmetic number, because the mean of its divisors is an integer number (68639307).

Almost surely, 2^137278613 is an apocalyptic number.

It is an amenable number.

137278613 is a deficient number, since it is larger than the sum of its proper divisors (1).

137278613 is an equidigital number, since it uses as much as digits as its factorization.

137278613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 137278613 is about 11716.5956233029. The cubic root of 137278613 is about 515.8628987456.

The spelling of 137278613 in words is "one hundred thirty-seven million, two hundred seventy-eight thousand, six hundred thirteen".