181125 has 48 divisors (see below), whose sum is σ = 389376. Its totient is φ = 79200.

The previous prime is 181123. The next prime is 181141. The reversal of 181125 is 521181.

It is not a de Polignac number, because 181125 - 2¹ = 181123 is a prime.

181125 is a lucky number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 181098 and 181107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7864 + ... + 7886.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2¹⁸¹¹²⁵ is an apocalyptic number.

181125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

181125 is an abundant number, since it is smaller than the sum of its proper divisors (208251).

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

181125 is a wasteful number, since it uses less digits than its factorization.

181125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 38 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 181125 is about 425.5878287733. The cubic root of 181125 is about 56.5795470224.

The spelling of 181125 in words is "one hundred eighty-one thousand, one hundred twenty-five".