191041200 has 540 divisors, whose sum is σ = 834801480. Its totient is φ = 41368320.

The previous prime is 191041177. The next prime is 191041231. The reversal of 191041200 is 2140191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 10054791 + ... + 10054809.

Almost surely, 2^191041200 is an apocalyptic number.

191041200 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 191041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417400740).

191041200 is an abundant number, since it is smaller than the sum of its proper divisors (643760280).

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

191041200 is a wasteful number, since it uses less digits than its factorization.

191041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 191041200 is about 13821.7654443996. The cubic root of 191041200 is about 575.9379273388.

Adding to 191041200 its reverse (2140191), we get a palindrome (193181391).

The spelling of 191041200 in words is "one hundred ninety-one million, forty-one thousand, two hundred".