137742313 has 12 divisors (see below), whose sum is σ = 148348540. Its totient is φ = 127844352.

The previous prime is 137742301. The next prime is 137742337. The reversal of 137742313 is 313247731.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 136726249 = 1008^2 + 11693^2 .

It is not a de Polignac number, because 137742313 - 2⁹ = 137741801 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137745313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17833 + ... + 24361.

Almost surely, 2^137742313 is an apocalyptic number.

It is an amenable number.

137742313 is a deficient number, since it is larger than the sum of its proper divisors (10606227).

137742313 is an equidigital number, since it uses as much as digits as its factorization.

137742313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6619 counting only the distinct ones).

The product of its digits is 10584, while the sum is 31.

The square root of 137742313 is about 11736.3671125268. The cubic root of 137742313 is about 516.4430736066.

The spelling of 137742313 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, three hundred thirteen".