199434144 has 192 divisors, whose sum is σ = 662812416. Its totient is φ = 51093504.

The previous prime is 199434133. The next prime is 199434149. The reversal of 199434144 is 441434991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (199434149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322924 + ... + 323540.

It is an arithmetic number, because the mean of its divisors is an integer number (3452148).

Almost surely, 2^199434144 is an apocalyptic number.

199434144 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 199434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331406208).

199434144 is an abundant number, since it is smaller than the sum of its proper divisors (463378272).

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

199434144 is a wasteful number, since it uses less digits than its factorization.

199434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 199434144 is about 14122.1154222730. The cubic root of 199434144 is about 584.2515023575.

The spelling of 199434144 in words is "one hundred ninety-nine million, four hundred thirty-four thousand, one hundred forty-four".