199168128 has 96 divisors (see below), whose sum is σ = 580310640. Its totient is φ = 65558016.

The previous prime is 199168121. The next prime is 199168157. The reversal of 199168128 is 821861991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×199168128² = 79335886422048768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (199168121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94575 + ... + 96657.

Almost surely, 2^199168128 is an apocalyptic number.

199168128 is a gapful number since it is divisible by the number (18) 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 199168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290155320).

199168128 is an abundant number, since it is smaller than the sum of its proper divisors (381142512).

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

199168128 is a wasteful number, since it uses less digits than its factorization.

199168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 199168128 is about 14112.6938604931. The cubic root of 199168128 is about 583.9916180695.

The spelling of 199168128 in words is "one hundred ninety-nine million, one hundred sixty-eight thousand, one hundred twenty-eight".