137117713 has 8 divisors (see below), whose sum is σ = 142571880. Its totient is φ = 131712000.

The previous prime is 137117707. The next prime is 137117779. The reversal of 137117713 is 317711731.

It can be written as a sum of positive squares in 4 ways, for example, as 44515584 + 92602129 = 6672^2 + 9623^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137117713 - 2¹³ = 137109521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137114713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6288 + ... + 17713.

It is an arithmetic number, because the mean of its divisors is an integer number (17821485).

Almost surely, 2^137117713 is an apocalyptic number.

It is an amenable number.

137117713 is a deficient number, since it is larger than the sum of its proper divisors (5454167).

137117713 is a wasteful number, since it uses less digits than its factorization.

137117713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24227.

The product of its digits is 3087, while the sum is 31.

The square root of 137117713 is about 11709.7272811966. The cubic root of 137117713 is about 515.6612776582.

The spelling of 137117713 in words is "one hundred thirty-seven million, one hundred seventeen thousand, seven hundred thirteen".