137316 has 12 divisors (see below), whose sum is σ = 320432. Its totient is φ = 45768.

The previous prime is 137303. The next prime is 137321. The reversal of 137316 is 613731.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 137292 and 137301.

It is an unprimeable number.

137316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5710 + ... + 5733.

2¹³⁷³¹⁶ is an apocalyptic number.

It is an amenable number.

137316 is an abundant number, since it is smaller than the sum of its proper divisors (183116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137316 is a wasteful number, since it uses less digits than its factorization.

137316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450 (or 11448 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 137316 is about 370.5617357472. The cubic root of 137316 is about 51.5909725208.

The spelling of 137316 in words is "one hundred thirty-seven thousand, three hundred sixteen".