195507200 has 132 divisors (see below), whose sum is σ = 554360352. Its totient is φ = 66969600.

The previous prime is 195507181. The next prime is 195507211. The reversal of 195507200 is 2705591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178655 + ... + 179745.

Almost surely, 2^195507200 is an apocalyptic number.

195507200 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 195507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277180176).

195507200 is an abundant number, since it is smaller than the sum of its proper divisors (358853152).

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

195507200 is a wasteful number, since it uses less digits than its factorization.

195507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 195507200 is about 13982.3889232134. The cubic root of 195507200 is about 580.3913332080.

The spelling of 195507200 in words is "one hundred ninety-five million, five hundred seven thousand, two hundred".