116145 has 24 divisors (see below), whose sum is σ = 210600. Its totient is φ = 59136.

The previous prime is 116141. The next prime is 116159. The reversal of 116145 is 541611.

116145 = 13² + 14² + ... + 70².

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 112896 = 57^2 + 336^2 .

It is not a de Polignac number, because 116145 - 2² = 116141 is a prime.

It is a super-2 number, since 2×116145² = 26979322050, which contains 22 as substring.

116145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (116141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹¹⁶¹⁴⁵ is an apocalyptic number.

116145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116145 is a deficient number, since it is larger than the sum of its proper divisors (94455).

116145 is a wasteful number, since it uses less digits than its factorization.

116145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 116145 is about 340.8005281686. The cubic root of 116145 is about 48.7903019786.

Adding to 116145 its reverse (541611), we get a palindrome (657756).

The spelling of 116145 in words is "one hundred sixteen thousand, one hundred forty-five".