191281200 has 240 divisors, whose sum is σ = 686015616. Its totient is φ = 45158400.

The previous prime is 191281183. The next prime is 191281249. The reversal of 191281200 is 2182191.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 567432 + ... + 567768.

Almost surely, 2^191281200 is an apocalyptic number.

191281200 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 191281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343007808).

191281200 is an abundant number, since it is smaller than the sum of its proper divisors (494734416).

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

191281200 is a wasteful number, since it uses less digits than its factorization.

191281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 191281200 is about 13830.4446783175. Note that the first 3 decimals coincide. The cubic root of 191281200 is about 576.1790049354.

The spelling of 191281200 in words is "one hundred ninety-one million, two hundred eighty-one thousand, two hundred".