137116 has 24 divisors (see below), whose sum is σ = 282240. Its totient is φ = 57072.

The previous prime is 137089. The next prime is 137117. The reversal of 137116 is 611731.

It is a happy number.

137116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137093 and 137102.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1611 + ... + 1693.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹³⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

137116 is an abundant number, since it is smaller than the sum of its proper divisors (145124).

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

137116 is a wasteful number, since it uses less digits than its factorization.

137116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

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

The square root of 137116 is about 370.2917768463. The cubic root of 137116 is about 51.5659130278.

Adding to 137116 its reverse (611731), we get a palindrome (748847).

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

The spelling of 137116 in words is "one hundred thirty-seven thousand, one hundred sixteen".