195144 has 32 divisors (see below), whose sum is σ = 501120. Its totient is φ = 63296.

The previous prime is 195137. The next prime is 195157. The reversal of 195144 is 441591.

195144 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2¹⁹⁵¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560).

195144 is an abundant number, since it is smaller than the sum of its proper divisors (305976).

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

195144 is a wasteful number, since it uses less digits than its factorization.

195144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 195144 is about 441.7510611193. The cubic root of 195144 is about 58.0031706550.

The spelling of 195144 in words is "one hundred ninety-five thousand, one hundred forty-four".