181440900 has 81 divisors (see below), whose sum is σ = 569985871. Its totient is φ = 48276480.

The previous prime is 181440893. The next prime is 181440971. The reversal of 181440900 is 9044181.

The square root of 181440900 is 13470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 181279296 = 402^2 + 13464^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 403876 + ... + 404324.

Almost surely, 2^181440900 is an apocalyptic number.

181440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181440900 is the 13470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181440900

181440900 is an abundant number, since it is smaller than the sum of its proper divisors (388544971).

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

181440900 is a wasteful number, since it uses less digits than its factorization.

181440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 181440900 is about 566.1242136868.

The spelling of 181440900 in words is "one hundred eighty-one million, four hundred forty thousand, nine hundred".