116137 has 8 divisors (see below), whose sum is σ = 135936. Its totient is φ = 97152.

The previous prime is 116131. The next prime is 116141. The reversal of 116137 is 731611.

It is a happy number.

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 116137 - 2⁷ = 116009 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 (116131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (16992).

2¹¹⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

116137 is a deficient number, since it is larger than the sum of its proper divisors (19799).

116137 is an equidigital number, since it uses as much as digits as its factorization.

116137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 126, while the sum is 19.

The square root of 116137 is about 340.7887908955. The cubic root of 116137 is about 48.7891817370.

Adding to 116137 its reverse (731611), we get a palindrome (847748).

It can be divided in two parts, 116 and 137, that added together give a triangular number (253 = T₂₂).

The spelling of 116137 in words is "one hundred sixteen thousand, one hundred thirty-seven".