198133940 has 24 divisors (see below), whose sum is σ = 416503080. Its totient is φ = 79173248.

The previous prime is 198133909. The next prime is 198133961. The reversal of 198133940 is 49331891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3587236 + 194546704 = 1894^2 + 13948^2 .

It is a super-3 number, since 3×198133940³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198133894 and 198133903.

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, 17714 + ... + 26646.

It is an arithmetic number, because the mean of its divisors is an integer number (17354295).

Almost surely, 2^198133940 is an apocalyptic number.

198133940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198133940 is an abundant number, since it is smaller than the sum of its proper divisors (218369140).

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

198133940 is a wasteful number, since it uses less digits than its factorization.

198133940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 198133940 is about 14076.0058255174. The cubic root of 198133940 is about 582.9790639821.

The spelling of 198133940 in words is "one hundred ninety-eight million, one hundred thirty-three thousand, nine hundred forty".