118149120 has 156 divisors (see below), whose sum is σ = 410172516. Its totient is φ = 31457280.

The previous prime is 118149077. The next prime is 118149121. The reversal of 118149120 is 21941811.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 40144896 = 8832^2 + 6336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118149121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184000 + ... + 184640.

It is an arithmetic number, because the mean of its divisors is an integer number (2629311).

Almost surely, 2^118149120 is an apocalyptic number.

118149120 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 118149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205086258).

118149120 is an abundant number, since it is smaller than the sum of its proper divisors (292023396).

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

118149120 is an equidigital number, since it uses as much as digits as its factorization.

118149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 118149120 is about 10869.6421284235. The cubic root of 118149120 is about 490.6933402849.

118149120 divided by its product of nonzero digits (576) gives a triangular number (205120 = T₆₄₀).

The spelling of 118149120 in words is "one hundred eighteen million, one hundred forty-nine thousand, one hundred twenty".