198128133 has 32 divisors (see below), whose sum is σ = 343270400. Its totient is φ = 110578608.

The previous prime is 198128123. The next prime is 198128137. The reversal of 198128133 is 331821891.

198128133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 198128133 - 2¹⁰ = 198127109 is a prime.

It is a super-3 number, since 3×198128133³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198128137) 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, 4063 + ... + 20316.

It is an arithmetic number, because the mean of its divisors is an integer number (10727200).

Almost surely, 2^198128133 is an apocalyptic number.

198128133 is the 8127-th octagonal number.

It is an amenable number.

198128133 is a deficient number, since it is larger than the sum of its proper divisors (145142267).

198128133 is a wasteful number, since it uses less digits than its factorization.

198128133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24438 (or 24432 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 198128133 is about 14075.7995510024. The cubic root of 198128133 is about 582.9733685209.

The spelling of 198128133 in words is "one hundred ninety-eight million, one hundred twenty-eight thousand, one hundred thirty-three".