118130688 has 288 divisors, whose sum is σ = 402456600. Its totient is φ = 33030144.

The previous prime is 118130687. The next prime is 118130707. The reversal of 118130688 is 886031811.

It can be written as a sum of positive squares in 4 ways, for example, as 97772544 + 20358144 = 9888^2 + 4512^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (118130687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4073458 + ... + 4073486.

Almost surely, 2^118130688 is an apocalyptic number.

118130688 is a gapful number since it is divisible by the number (18) 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 118130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201228300).

118130688 is an abundant number, since it is smaller than the sum of its proper divisors (284325912).

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

118130688 is a wasteful number, since it uses less digits than its factorization.

118130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 118130688 is about 10868.7942293522. The cubic root of 118130688 is about 490.6678218834.

The spelling of 118130688 in words is "one hundred eighteen million, one hundred thirty thousand, six hundred eighty-eight".