195874200 has 240 divisors, whose sum is σ = 692734680. Its totient is φ = 51287040.

The previous prime is 195874183. The next prime is 195874201. The reversal of 195874200 is 2478591.

195874200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195874201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1733344 + ... + 1733456.

Almost surely, 2^195874200 is an apocalyptic number.

195874200 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 195874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346367340).

195874200 is an abundant number, since it is smaller than the sum of its proper divisors (496860480).

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

195874200 is a wasteful number, since it uses less digits than its factorization.

195874200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 195874200 is about 13995.5064217055. The cubic root of 195874200 is about 580.7542703562.

The spelling of 195874200 in words is "one hundred ninety-five million, eight hundred seventy-four thousand, two hundred".