137315 has 8 divisors (see below), whose sum is σ = 170640. Its totient is φ = 105952.

The previous prime is 137303. The next prime is 137321. The reversal of 137315 is 513731.

It is a happy number.

137315 is nontrivially palindromic in base 14.

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 137315 - 2⁶ = 137251 is a prime.

It is a plaindrome in base 7.

It is an unprimeable number.

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, 329 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (21330).

2¹³⁷³¹⁵ is an apocalyptic number.

137315 is a deficient number, since it is larger than the sum of its proper divisors (33325).

137315 is an equidigital number, since it uses as much as digits as its factorization.

137315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981.

The product of its digits is 315, while the sum is 20.

The square root of 137315 is about 370.5603864419. The cubic root of 137315 is about 51.5908472839.

The spelling of 137315 in words is "one hundred thirty-seven thousand, three hundred fifteen".