194128200 has 432 divisors, whose sum is σ = 793877760. Its totient is φ = 42336000.

The previous prime is 194128183. The next prime is 194128213. The reversal of 194128200 is 2821491.

It is a super-3 number, since 3×194128200³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 2734165 + ... + 2734235.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^194128200 is an apocalyptic number.

194128200 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 194128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396938880).

194128200 is an abundant number, since it is smaller than the sum of its proper divisors (599749560).

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

194128200 is a wasteful number, since it uses less digits than its factorization.

194128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 194128200 is about 13932.9896289346. The cubic root of 194128200 is about 579.0235254028.

Adding to 194128200 its reverse (2821491), we get a palindrome (196949691).

The spelling of 194128200 in words is "one hundred ninety-four million, one hundred twenty-eight thousand, two hundred".