198156 has 36 divisors (see below), whose sum is σ = 539448. Its totient is φ = 56448.

The previous prime is 198139. The next prime is 198173. The reversal of 198156 is 651891.

198156 = 38² + 39² + ... + 86².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198139) and next prime (198173).

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198156.

It is an unprimeable number.

198156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420 + ... + 756.

2¹⁹⁸¹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269724).

198156 is an abundant number, since it is smaller than the sum of its proper divisors (341292).

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

198156 is a wasteful number, since it uses less digits than its factorization.

198156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 198156 is about 445.1471666764. The cubic root of 198156 is about 58.3000699247.

The spelling of 198156 in words is "one hundred ninety-eight thousand, one hundred fifty-six".