181490000 has 50 divisors (see below), whose sum is σ = 439429650. Its totient is φ = 72592000.

The previous prime is 181489999. The next prime is 181490021. The reversal of 181490000 is 94181.

It can be written as a sum of positive squares in 5 ways, for example, as 91087936 + 90402064 = 9544^2 + 9508^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 926 + ... + 19074.

It is an arithmetic number, because the mean of its divisors is an integer number (8788593).

Almost surely, 2^181490000 is an apocalyptic number.

181490000 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 181490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219714825).

181490000 is an abundant number, since it is smaller than the sum of its proper divisors (257939650).

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

181490000 is an equidigital number, since it uses as much as digits as its factorization.

181490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18177 (or 18156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 181490000 is about 13471.8224453858. The cubic root of 181490000 is about 566.1752756615.

The spelling of 181490000 in words is "one hundred eighty-one million, four hundred ninety thousand".