181080000 has 210 divisors, whose sum is σ = 649873224. Its totient is φ = 48192000.

The previous prime is 181079957. The next prime is 181080001. The reversal of 181080000 is 80181.

It is a happy number.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359749 + ... + 360251.

Almost surely, 2^181080000 is an apocalyptic number.

181080000 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 181080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324936612).

181080000 is an abundant number, since it is smaller than the sum of its proper divisors (468793224).

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

181080000 is an equidigital number, since it uses as much as digits as its factorization.

181080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 181080000 is about 13456.5968952035. The cubic root of 181080000 is about 565.7486095751.

It can be divided in two parts, 1810 and 80000, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 181080000 in words is "one hundred eighty-one million, eighty thousand".