185009000 has 128 divisors (see below), whose sum is σ = 479606400. Its totient is φ = 66792000.

The previous prime is 185008963. The next prime is 185009029. The reversal of 185009000 is 900581.

185009000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330931 + ... + 1331069.

It is an arithmetic number, because the mean of its divisors is an integer number (3746925).

Almost surely, 2^185009000 is an apocalyptic number.

185009000 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 185009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239803200).

185009000 is an abundant number, since it is smaller than the sum of its proper divisors (294597400).

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

185009000 is a wasteful number, since it uses less digits than its factorization.

185009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 185009000 is about 13601.8013512917. The cubic root of 185009000 is about 569.8111614118.

Adding to 185009000 its reverse (900581), we get a palindrome (185909581).

The spelling of 185009000 in words is "one hundred eighty-five million, nine thousand".