185140 has 12 divisors (see below), whose sum is σ = 388836. Its totient is φ = 74048.

The previous prime is 185137. The next prime is 185149. The reversal of 185140 is 41581.

185140 is digitally balanced in base 2, 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 2 ways, for example, as 34596 + 150544 = 186^2 + 388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4609 + ... + 4648.

It is an arithmetic number, because the mean of its divisors is an integer number (32403).

2¹⁸⁵¹⁴⁰ is an apocalyptic number.

185140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

185140 is an abundant number, since it is smaller than the sum of its proper divisors (203696).

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

185140 is a wasteful number, since it uses less digits than its factorization.

185140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 185140 is about 430.2789792681. The cubic root of 185140 is about 56.9945619107.

It can be divided in two parts, 1851 and 40, that added together give a triangular number (1891 = T₆₁).

The spelling of 185140 in words is "one hundred eighty-five thousand, one hundred forty".