181485180 has 144 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 45446016.

The previous prime is 181485179. The next prime is 181485221. The reversal of 181485180 is 81584181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243889 + ... + 244631.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^181485180 is an apocalyptic number.

181485180 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 181485180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

181485180 is an abundant number, since it is smaller than the sum of its proper divisors (403477380).

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

181485180 is a wasteful number, since it uses less digits than its factorization.

181485180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 181485180 is about 13471.6435522916. The cubic root of 181485180 is about 566.1702634680.

Subtracting from 181485180 its reverse (81584181), we obtain a palindrome (99900999).

The spelling of 181485180 in words is "one hundred eighty-one million, four hundred eighty-five thousand, one hundred eighty".