116134560 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 29611008.

The previous prime is 116134549. The next prime is 116134561. The reversal of 116134560 is 65431611.

116134560 is a `hidden beast` number, since 1 + 1 + 613 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (116134561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127469 + ... + 1127571.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^116134560 is an apocalyptic number.

116134560 is a gapful number since it is divisible by the number (10) 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 116134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

116134560 is an abundant number, since it is smaller than the sum of its proper divisors (313152480).

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

116134560 is a wasteful number, since it uses less digits than its factorization.

116134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

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

The square root of 116134560 is about 10776.5745949258. The cubic root of 116134560 is about 487.8884005309. Note that the first 3 decimals are identical.

It can be divided in two parts, 1161 and 34560, that added together give a square (35721 = 189²).

The spelling of 116134560 in words is "one hundred sixteen million, one hundred thirty-four thousand, five hundred sixty".