199278144 has 140 divisors (see below), whose sum is σ = 636378204. Its totient is φ = 61295616.

The previous prime is 199278139. The next prime is 199278179. The reversal of 199278144 is 441872991.

It is a happy number.

199278144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 166100544 = 5760^2 + 12888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199278144.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 65914 + ... + 68870.

Almost surely, 2^199278144 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 199278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318189102).

199278144 is an abundant number, since it is smaller than the sum of its proper divisors (437100060).

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

199278144 is a wasteful number, since it uses less digits than its factorization.

199278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2975 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 199278144 is about 14116.5910899197. The cubic root of 199278144 is about 584.0991262274.

The spelling of 199278144 in words is "one hundred ninety-nine million, two hundred seventy-eight thousand, one hundred forty-four".