116415144 has 160 divisors (see below), whose sum is σ = 348131520. Its totient is φ = 36267264.

The previous prime is 116415107. The next prime is 116415149. The reversal of 116415144 is 441514611.

116415144 is a `hidden beast` number, since 1 + 1 + 641 + 5 + 14 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116415149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1087939 + ... + 1088045.

It is an arithmetic number, because the mean of its divisors is an integer number (2175822).

Almost surely, 2^116415144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116415144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174065760).

116415144 is an abundant number, since it is smaller than the sum of its proper divisors (231716376).

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

116415144 is a wasteful number, since it uses less digits than its factorization.

116415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 116415144 is about 10789.5849781166. The cubic root of 116415144 is about 488.2810013798.

Adding to 116415144 its reverse (441514611), we get a palindrome (557929755).

The spelling of 116415144 in words is "one hundred sixteen million, four hundred fifteen thousand, one hundred forty-four".