199144960 has 80 divisors (see below), whose sum is σ = 545741856. Its totient is φ = 68272128.

The previous prime is 199144951. The next prime is 199144973. The reversal of 199144960 is 69441991.

It is a happy number.

199144960 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 (80).

It is a congruent number.

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, 12364 + ... + 23476.

Almost surely, 2^199144960 is an apocalyptic number.

199144960 is a gapful number since it is divisible by the number (10) 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 199144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272870928).

199144960 is an abundant number, since it is smaller than the sum of its proper divisors (346596896).

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

199144960 is an equidigital number, since it uses as much as digits as its factorization.

199144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11143 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 199144960 is about 14111.8730153017. The cubic root of 199144960 is about 583.9689731436.

The spelling of 199144960 in words is "one hundred ninety-nine million, one hundred forty-four thousand, nine hundred sixty".