189189000 has 768 divisors, whose sum is σ = 896313600. Its totient is φ = 36288000.

The previous prime is 189188981. The next prime is 189189041. The reversal of 189189000 is 981981.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14552994 + ... + 14553006.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^189189000 is an apocalyptic number.

189189000 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 189189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

189189000 is an abundant number, since it is smaller than the sum of its proper divisors (707124600).

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

189189000 is a wasteful number, since it uses less digits than its factorization.

189189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 189189000 is about 13754.5992308028. The cubic root of 189189000 is about 574.0705842210.

The spelling of 189189000 in words is "one hundred eighty-nine million, one hundred eighty-nine thousand".