181140480 has 132 divisors (see below), whose sum is σ = 627806712. Its totient is φ = 48291840.

The previous prime is 181140473. The next prime is 181140517. The reversal of 181140480 is 84041181.

181140480 is a `hidden beast` number, since 181 + 1 + 4 + 0 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44115 + ... + 48045.

Almost surely, 2^181140480 is an apocalyptic number.

181140480 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 181140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313903356).

181140480 is an abundant number, since it is smaller than the sum of its proper divisors (446666232).

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

181140480 is a wasteful number, since it uses less digits than its factorization.

181140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 181140480 is about 13458.8439325226. The cubic root of 181140480 is about 565.8115884928.

The spelling of 181140480 in words is "one hundred eighty-one million, one hundred forty thousand, four hundred eighty".