181120160 has 96 divisors (see below), whose sum is σ = 485170560. Its totient is φ = 63341568.

The previous prime is 181120153. The next prime is 181120189. The reversal of 181120160 is 61021181.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 37229 + ... + 41811.

It is an arithmetic number, because the mean of its divisors is an integer number (5053860).

Almost surely, 2^181120160 is an apocalyptic number.

181120160 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 181120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242585280).

181120160 is an abundant number, since it is smaller than the sum of its proper divisors (304050400).

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

181120160 is a wasteful number, since it uses less digits than its factorization.

181120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 181120160 is about 13458.0890173902. The cubic root of 181120160 is about 565.7904304733.

The spelling of 181120160 in words is "one hundred eighty-one million, one hundred twenty thousand, one hundred sixty".