194915200 has 96 divisors (see below), whose sum is σ = 509967360. Its totient is φ = 73359360.

The previous prime is 194915143. The next prime is 194915209. The reversal of 194915200 is 2519491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194915209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52609 + ... + 56191.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^194915200 is an apocalyptic number.

194915200 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 194915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

194915200 is an abundant number, since it is smaller than the sum of its proper divisors (315052160).

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

194915200 is a wasteful number, since it uses less digits than its factorization.

194915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 194915200 is about 13961.2033865280. The cubic root of 194915200 is about 579.8049284536.

The spelling of 194915200 in words is "one hundred ninety-four million, nine hundred fifteen thousand, two hundred".