181881180 has 144 divisors (see below), whose sum is σ = 613035360. Its totient is φ = 44748288.

The previous prime is 181881173. The next prime is 181881187. The reversal of 181881180 is 81188181.

It is an interprime number because it is at equal distance from previous prime (181881173) and next prime (181881187).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181881187) 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, 90264 + ... + 92256.

It is an arithmetic number, because the mean of its divisors is an integer number (4257190).

Almost surely, 2^181881180 is an apocalyptic number.

181881180 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 181881180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306517680).

181881180 is an abundant number, since it is smaller than the sum of its proper divisors (431154180).

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

181881180 is a wasteful number, since it uses less digits than its factorization.

181881180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 36.

The square root of 181881180 is about 13486.3330820501. Note that the first 3 decimals coincide. The cubic root of 181881180 is about 566.5817581354.

The spelling of 181881180 in words is "one hundred eighty-one million, eight hundred eighty-one thousand, one hundred eighty".