199350144 has 192 divisors, whose sum is σ = 668304000. Its totient is φ = 55858176.

The previous prime is 199350133. The next prime is 199350157. The reversal of 199350144 is 441053991.

It is a happy number.

199350144 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199350099 and 199350108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475567 + ... + 475985.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^199350144 is an apocalyptic number.

199350144 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 199350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334152000).

199350144 is an abundant number, since it is smaller than the sum of its proper divisors (468953856).

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

199350144 is a wasteful number, since it uses less digits than its factorization.

199350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 199350144 is about 14119.1410503614. The cubic root of 199350144 is about 584.1694635499.

The spelling of 199350144 in words is "one hundred ninety-nine million, three hundred fifty thousand, one hundred forty-four".