137216317 has 6 divisors (see below), whose sum is σ = 159619038. Its totient is φ = 117613944.

The previous prime is 137216293. The next prime is 137216327. The reversal of 137216317 is 713612731.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 15202201 = 11046^2 + 3899^2 .

It is not a de Polignac number, because 137216317 - 2¹¹ = 137214269 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 (137216327) 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 5 ways as a sum of consecutive naturals, for example, 1400118 + ... + 1400215.

It is an arithmetic number, because the mean of its divisors is an integer number (26603173).

Almost surely, 2^137216317 is an apocalyptic number.

It is an amenable number.

137216317 is a deficient number, since it is larger than the sum of its proper divisors (22402721).

137216317 is an equidigital number, since it uses as much as digits as its factorization.

137216317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800347 (or 2800340 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 137216317 is about 11713.9368702414. The cubic root of 137216317 is about 515.7848553740.

It can be divided in two parts, 1372 and 16317, that added together give a square (17689 = 133²).

The spelling of 137216317 in words is "one hundred thirty-seven million, two hundred sixteen thousand, three hundred seventeen".