185214000 has 80 divisors (see below), whose sum is σ = 597149280. Its totient is φ = 49388800.

The previous prime is 185213993. The next prime is 185214011. The reversal of 185214000 is 412581.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9435 + ... + 21434.

It is an arithmetic number, because the mean of its divisors is an integer number (7464366).

Almost surely, 2^185214000 is an apocalyptic number.

185214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

185214000 is an abundant number, since it is smaller than the sum of its proper divisors (411935280).

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

185214000 is a wasteful number, since it uses less digits than its factorization.

185214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30895 (or 30879 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 185214000 is about 13609.3350315142. The cubic root of 185214000 is about 570.0215442765.

Adding to 185214000 its reverse (412581), we get a palindrome (185626581).

It can be divided in two parts, 185 and 214000, that added together give a triangular number (214185 = T₆₅₄).

The spelling of 185214000 in words is "one hundred eighty-five million, two hundred fourteen thousand".