137705713 has 8 divisors (see below), whose sum is σ = 140899176. Its totient is φ = 134534400.

The previous prime is 137705699. The next prime is 137705753. The reversal of 137705713 is 317507731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35129329 + 102576384 = 5927^2 + 10128^2 .

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 137705713 - 2⁵ = 137705681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137705753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7383 + ... + 18163.

It is an arithmetic number, because the mean of its divisors is an integer number (17612397).

Almost surely, 2^137705713 is an apocalyptic number.

It is an amenable number.

137705713 is a deficient number, since it is larger than the sum of its proper divisors (3193463).

137705713 is a wasteful number, since it uses less digits than its factorization.

137705713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075.

The product of its (nonzero) digits is 15435, while the sum is 34.

The square root of 137705713 is about 11734.8077530056. The cubic root of 137705713 is about 516.3973275792.

The spelling of 137705713 in words is "one hundred thirty-seven million, seven hundred five thousand, seven hundred thirteen".