190195200 has 360 divisors, whose sum is σ = 738786048. Its totient is φ = 46448640.

The previous prime is 190195193. The next prime is 190195219. The reversal of 190195200 is 2591091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497537 + ... + 1497663.

Almost surely, 2^190195200 is an apocalyptic number.

190195200 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 190195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369393024).

190195200 is an abundant number, since it is smaller than the sum of its proper divisors (548590848).

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

190195200 is a wasteful number, since it uses less digits than its factorization.

190195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 190195200 is about 13791.1275826163. The cubic root of 190195200 is about 575.0865150225.

The spelling of 190195200 in words is "one hundred ninety million, one hundred ninety-five thousand, two hundred".