137114 has 8 divisors (see below), whose sum is σ = 207360. Its totient is φ = 67996.

The previous prime is 137089. The next prime is 137117. The reversal of 137114 is 411731.

137114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×137114³ = 7733332022512632, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137092 and 137101.

It is not an unprimeable number, because it can be changed into a prime (137117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2¹³⁷¹¹⁴ is an apocalyptic number.

137114 is a deficient number, since it is larger than the sum of its proper divisors (70246).

137114 is a wasteful number, since it uses less digits than its factorization.

137114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its digits is 84, while the sum is 17.

The square root of 137114 is about 370.2890762634. The cubic root of 137114 is about 51.5656623099.

Adding to 137114 its reverse (411731), we get a palindrome (548845).

The spelling of 137114 in words is "one hundred thirty-seven thousand, one hundred fourteen".