188134800 has 120 divisors (see below), whose sum is σ = 688783296. Its totient is φ = 43000320.

The previous prime is 188134781. The next prime is 188134823. The reversal of 188134800 is 8431881.

It is a happy number.

188134800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799 + ... + 19598.

Almost surely, 2^188134800 is an apocalyptic number.

188134800 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 188134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344391648).

188134800 is an abundant number, since it is smaller than the sum of its proper divisors (500648496).

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

188134800 is a wasteful number, since it uses less digits than its factorization.

188134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22425 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 188134800 is about 13716.2239701749. The cubic root of 188134800 is about 573.0023177877.

Subtracting from 188134800 its product of nonzero digits (6144), we obtain a square (188128656 = 13716²).

The spelling of 188134800 in words is "one hundred eighty-eight million, one hundred thirty-four thousand, eight hundred".