118225800 has 288 divisors, whose sum is σ = 495593280. Its totient is φ = 24537600.

The previous prime is 118225787. The next prime is 118225829. The reversal of 118225800 is 8522811.

118225800 is a `hidden beast` number, since 1 + 1 + 82 + 2 + 580 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138174 + ... + 139026.

It is an arithmetic number, because the mean of its divisors is an integer number (1720810).

Almost surely, 2^118225800 is an apocalyptic number.

118225800 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 118225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247796640).

118225800 is an abundant number, since it is smaller than the sum of its proper divisors (377367480).

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

118225800 is a wasteful number, since it uses less digits than its factorization.

118225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 118225800 is about 10873.1688113447. The cubic root of 118225800 is about 490.7994723444.

It can be divided in two parts, 118225 and 800, that added together give a square (119025 = 345²).

The spelling of 118225800 in words is "one hundred eighteen million, two hundred twenty-five thousand, eight hundred".