137508317 has 8 divisors (see below), whose sum is σ = 141850200. Its totient is φ = 133199424.

The previous prime is 137508313. The next prime is 137508331. The reversal of 137508317 is 713805731.

137508317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118940836 + 18567481 = 10906^2 + 4309^2 .

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 137508317 - 2² = 137508313 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 (137508311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (17731275).

Almost surely, 2^137508317 is an apocalyptic number.

It is an amenable number.

137508317 is a deficient number, since it is larger than the sum of its proper divisors (4341883).

137508317 is a wasteful number, since it uses less digits than its factorization.

137508317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16495.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 137508317 is about 11726.3940322675. The cubic root of 137508317 is about 516.1504641532.

The spelling of 137508317 in words is "one hundred thirty-seven million, five hundred eight thousand, three hundred seventeen".