188081920 has 144 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 68124672.

The previous prime is 188081903. The next prime is 188081947. The reversal of 188081920 is 29180881.

188081920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 188081920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480897 + ... + 1481023.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2^188081920 is an apocalyptic number.

188081920 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 188081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

188081920 is an abundant number, since it is smaller than the sum of its proper divisors (306402560).

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

188081920 is a wasteful number, since it uses less digits than its factorization.

188081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 188081920 is about 13714.2961904722. The cubic root of 188081920 is about 572.9486272036.

The spelling of 188081920 in words is "one hundred eighty-eight million, eighty-one thousand, nine hundred twenty".