198153000 has 256 divisors, whose sum is σ = 707616000. Its totient is φ = 51264000.

The previous prime is 198152993. The next prime is 198153001. The reversal of 198153000 is 351891.

It is a super-2 number, since 2×198153000² = 78529222818000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (198153001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106911 + ... + 1107089.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^198153000 is an apocalyptic number.

198153000 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 198153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

198153000 is an abundant number, since it is smaller than the sum of its proper divisors (509463000).

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

198153000 is a wasteful number, since it uses less digits than its factorization.

198153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 198153000 is about 14076.6828478871. The cubic root of 198153000 is about 582.9977571023.

The spelling of 198153000 in words is "one hundred ninety-eight million, one hundred fifty-three thousand".