198145192200 has 192 divisors, whose sum is σ = 620625456000. Its totient is φ = 52291491840.

The previous prime is 198145192187. The next prime is 198145192207. The reversal of 198145192200 is 2291541891.

It is a super-3 number, since 3×198145192200³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (198145192207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86261452 + ... + 86263748.

It is an arithmetic number, because the mean of its divisors is an integer number (3232424250).

Almost surely, 2^198145192200 is an apocalyptic number.

198145192200 is a gapful number since it is divisible by the number (10) 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 198145192200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310312728000).

198145192200 is an abundant number, since it is smaller than the sum of its proper divisors (422480263800).

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

198145192200 is a wasteful number, since it uses less digits than its factorization.

198145192200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 198145192200 in words is "one hundred ninety-eight billion, one hundred forty-five million, one hundred ninety-two thousand, two hundred".