137835613 has 2 divisors, whose sum is σ = 137835614. Its totient is φ = 137835612.

The previous prime is 137835611. The next prime is 137835629. The reversal of 137835613 is 316538731.

It is a happy number.

137835613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134606404 + 3229209 = 11602^2 + 1797^2 .

It is a cyclic number.

It is not a de Polignac number, because 137835613 - 2¹ = 137835611 is a prime.

It is a super-2 number, since 2×137835613² = 37997312422171538, which contains 22 as substring.

Together with 137835611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137835611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68917806 + 68917807.

It is an arithmetic number, because the mean of its divisors is an integer number (68917807).

Almost surely, 2^137835613 is an apocalyptic number.

It is an amenable number.

137835613 is a deficient number, since it is larger than the sum of its proper divisors (1).

137835613 is an equidigital number, since it uses as much as digits as its factorization.

137835613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 37.

The square root of 137835613 is about 11740.3412642052. The cubic root of 137835613 is about 516.5596518330.

The spelling of 137835613 in words is "one hundred thirty-seven million, eight hundred thirty-five thousand, six hundred thirteen".