137610113 has 2 divisors, whose sum is σ = 137610114. Its totient is φ = 137610112.

The previous prime is 137610089. The next prime is 137610119. The reversal of 137610113 is 311016731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136585969 + 1024144 = 11687^2 + 1012^2 .

It is a cyclic number.

It is not a de Polignac number, because 137610113 - 2¹² = 137606017 is a prime.

It is not a weakly prime, because it can be changed into another prime (137610119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68805056 + 68805057.

It is an arithmetic number, because the mean of its divisors is an integer number (68805057).

Almost surely, 2^137610113 is an apocalyptic number.

It is an amenable number.

137610113 is a deficient number, since it is larger than the sum of its proper divisors (1).

137610113 is an equidigital number, since it uses as much as digits as its factorization.

137610113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 137610113 is about 11730.7336940193. The cubic root of 137610113 is about 516.2777997056.

Adding to 137610113 its reverse (311016731), we get a palindrome (448626844).

The spelling of 137610113 in words is "one hundred thirty-seven million, six hundred ten thousand, one hundred thirteen".