199518144 has 112 divisors (see below), whose sum is σ = 624230400. Its totient is φ = 55028736.

The previous prime is 199518119. The next prime is 199518157. The reversal of 199518144 is 441815991.

199518144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 199518096 and 199518105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36417 + ... + 41535.

Almost surely, 2^199518144 is an apocalyptic number.

199518144 is a gapful number since it is divisible by the number (14) 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 199518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312115200).

199518144 is an abundant number, since it is smaller than the sum of its proper divisors (424712256).

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

199518144 is a wasteful number, since it uses less digits than its factorization.

199518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5160 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 199518144 is about 14125.0891678601. The cubic root of 199518144 is about 584.3335181322. Note that the first 3 decimals are identical.

The spelling of 199518144 in words is "one hundred ninety-nine million, five hundred eighteen thousand, one hundred forty-four".