185000 has 40 divisors (see below), whose sum is σ = 445170. Its totient is φ = 72000.

The previous prime is 184999. The next prime is 185021. The reversal of 185000 is 581.

185000 = T₁₄₄ + T₁₄₅ + ... + T₁₅₉.

185000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 20164 + 164836 = 142^2 + 406^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4982 + ... + 5018.

2¹⁸⁵⁰⁰⁰ is an apocalyptic number.

185000 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 185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222585).

185000 is an abundant number, since it is smaller than the sum of its proper divisors (260170).

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

185000 is an equidigital number, since it uses as much as digits as its factorization.

185000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 185000 is about 430.1162633521. The cubic root of 185000 is about 56.9801921531.

Adding to 185000 its reverse (581), we get a palindrome (185581).

It can be divided in two parts, 18 and 5000, that multiplied together give a square (90000 = 300²).

The spelling of 185000 in words is "one hundred eighty-five thousand".