181317152 has 48 divisors (see below), whose sum is σ = 380388960. Its totient is φ = 84828672.

The previous prime is 181317151. The next prime is 181317167. The reversal of 181317152 is 251713181.

It is a super-2 number, since 2×181317152² = 65751819218782208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181317151) 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 7 ways as a sum of consecutive naturals, for example, 48668 + ... + 52260.

It is an arithmetic number, because the mean of its divisors is an integer number (7924770).

Almost surely, 2^181317152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181317152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190194480).

181317152 is an abundant number, since it is smaller than the sum of its proper divisors (199071808).

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

181317152 is a wasteful number, since it uses less digits than its factorization.

181317152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3697 counting only the distinct ones).

The product of its digits is 1680, while the sum is 29.

The square root of 181317152 is about 13465.4057495495. The cubic root of 181317152 is about 565.9954799924.

The spelling of 181317152 in words is "one hundred eighty-one million, three hundred seventeen thousand, one hundred fifty-two".