137835629 has 2 divisors, whose sum is σ = 137835630. Its totient is φ = 137835628.

The previous prime is 137835613. The next prime is 137835667. The reversal of 137835629 is 926538731.

137835629 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., 121594729 + 16240900 = 11027^2 + 4030^2 .

It is an emirp because it is prime and its reverse (926538731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137835629 - 2⁴ = 137835613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137835629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137835679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68917814 + 68917815.

It is an arithmetic number, because the mean of its divisors is an integer number (68917815).

Almost surely, 2^137835629 is an apocalyptic number.

It is an amenable number.

137835629 is a deficient number, since it is larger than the sum of its proper divisors (1).

137835629 is an equidigital number, since it uses as much as digits as its factorization.

137835629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 44.

The square root of 137835629 is about 11740.3419456164. The cubic root of 137835629 is about 516.5596718205.

The spelling of 137835629 in words is "one hundred thirty-seven million, eight hundred thirty-five thousand, six hundred twenty-nine".