198131292 has 144 divisors (see below), whose sum is σ = 560528640. Its totient is φ = 60397920.

The previous prime is 198131287. The next prime is 198131299. The reversal of 198131292 is 292131891.

It is a super-3 number, since 3×198131292³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198131299) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2387083 + ... + 2387165.

It is an arithmetic number, because the mean of its divisors is an integer number (3892560).

Almost surely, 2^198131292 is an apocalyptic number.

198131292 is a gapful number since it is divisible by the number (12) 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 198131292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280264320).

198131292 is an abundant number, since it is smaller than the sum of its proper divisors (362397348).

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

198131292 is a wasteful number, since it uses less digits than its factorization.

198131292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 198131292 is about 14075.9117644293. The cubic root of 198131292 is about 582.9764668577.

The spelling of 198131292 in words is "one hundred ninety-eight million, one hundred thirty-one thousand, two hundred ninety-two".