185130 has 72 divisors (see below), whose sum is σ = 560196. Its totient is φ = 42240.

The previous prime is 185123. The next prime is 185131. The reversal of 185130 is 31581.

185130 = T₅₃ + T₅₄ + ... + T₁₀₇.

It is a happy number.

185130 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 184041 + 1089 = 429^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (185131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10882 + ... + 10898.

2¹⁸⁵¹³⁰ is an apocalyptic number.

185130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 185130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

185130 is an abundant number, since it is smaller than the sum of its proper divisors (375066).

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

185130 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 185130 = (311850)₉.

185130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 185130 is about 430.2673587434. The cubic root of 185130 is about 56.9935357397.

It can be divided in two parts, 1851 and 30, that added together give a palindrome (1881).

The spelling of 185130 in words is "one hundred eighty-five thousand, one hundred thirty".