191242800 has 180 divisors, whose sum is σ = 758574960. Its totient is φ = 43706880.

The previous prime is 191242763. The next prime is 191242811. The reversal of 191242800 is 8242191.

191242800 is digitally balanced in base 3, 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 (180).

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 35 ways as a sum of consecutive naturals, for example, 21406 + ... + 28994.

Almost surely, 2^191242800 is an apocalyptic number.

191242800 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 191242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379287480).

191242800 is an abundant number, since it is smaller than the sum of its proper divisors (567332160).

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

191242800 is a wasteful number, since it uses less digits than its factorization.

191242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7606 counting only the distinct ones).

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

The square root of 191242800 is about 13829.0563669399. The cubic root of 191242800 is about 576.1404460763.

Adding to 191242800 its reverse (8242191), we get a palindrome (199484991).

The spelling of 191242800 in words is "one hundred ninety-one million, two hundred forty-two thousand, eight hundred".