118890000 has 150 divisors (see below), whose sum is σ = 416090246. Its totient is φ = 31680000.

The previous prime is 118889989. The next prime is 118890007. The reversal of 118890000 is 98811.

It can be written as a sum of positive squares in 5 ways, for example, as 19927296 + 98962704 = 4464^2 + 9948^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118890007) 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 29 ways as a sum of consecutive naturals, for example, 89340 + ... + 90660.

Almost surely, 2^118890000 is an apocalyptic number.

118890000 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 118890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208045123).

118890000 is an abundant number, since it is smaller than the sum of its proper divisors (297200246).

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

118890000 is a wasteful number, since it uses less digits than its factorization.

118890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1331 counting only the distinct ones).

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

The square root of 118890000 is about 10903.6691072317. The cubic root of 118890000 is about 491.7168706116.

The spelling of 118890000 in words is "one hundred eighteen million, eight hundred ninety thousand".