198145080 has 192 divisors, whose sum is σ = 748612800. Its totient is φ = 44513280.

The previous prime is 198145039. The next prime is 198145109. The reversal of 198145080 is 80541891.

It is a super-3 number, since 3×198145080³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153076 + ... + 154364.

It is an arithmetic number, because the mean of its divisors is an integer number (3899025).

Almost surely, 2^198145080 is an apocalyptic number.

198145080 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 198145080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374306400).

198145080 is an abundant number, since it is smaller than the sum of its proper divisors (550467720).

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

198145080 is a wasteful number, since it uses less digits than its factorization.

198145080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198145080 is about 14076.4015287999. The cubic root of 198145080 is about 582.9899896974.

The spelling of 198145080 in words is "one hundred ninety-eight million, one hundred forty-five thousand, eighty".