116045136 has 70 divisors (see below), whose sum is σ = 337135850. Its totient is φ = 38677824.

The previous prime is 116045117. The next prime is 116045159. The reversal of 116045136 is 631540611.

116045136 is a `hidden beast` number, since 1 + 1 + 604 + 51 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 21566736 = 9720^2 + 4644^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6690 + ... + 16638.

Almost surely, 2^116045136 is an apocalyptic number.

116045136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168567925).

116045136 is an abundant number, since it is smaller than the sum of its proper divisors (221090714).

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

116045136 is an frugal number, since it uses more digits than its factorization.

116045136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116045136 is about 10772.4247966741. The cubic root of 116045136 is about 487.7631431419.

Adding to 116045136 its reverse (631540611), we get a palindrome (747585747).

The spelling of 116045136 in words is "one hundred sixteen million, forty-five thousand, one hundred thirty-six".