137314 has 8 divisors (see below), whose sum is σ = 209088. Its totient is φ = 67620.

The previous prime is 137303. The next prime is 137321. The reversal of 137314 is 413731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 137291 and 137300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (26136).

2¹³⁷³¹⁴ is an apocalyptic number.

137314 is a deficient number, since it is larger than the sum of its proper divisors (71774).

137314 is an equidigital number, since it uses as much as digits as its factorization.

137314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040.

The product of its digits is 252, while the sum is 19.

The square root of 137314 is about 370.5590371317. The cubic root of 137314 is about 51.5907220464.

The spelling of 137314 in words is "one hundred thirty-seven thousand, three hundred fourteen".