181813248 has 150 divisors (see below), whose sum is σ = 547143366. Its totient is φ = 60162048.

The previous prime is 181813217. The next prime is 181813309. The reversal of 181813248 is 842318181.

It can be written as a sum of positive squares in only one way, i.e., 160579584 + 21233664 = 12672^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327036 + ... + 1327172.

Almost surely, 2^181813248 is an apocalyptic number.

181813248 is a gapful number since it is divisible by the number (18) 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 181813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273571683).

181813248 is an abundant number, since it is smaller than the sum of its proper divisors (365330118).

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

181813248 is an frugal number, since it uses more digits than its factorization.

181813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 181813248 is about 13483.8142971490. The cubic root of 181813248 is about 566.5112105673.

The spelling of 181813248 in words is "one hundred eighty-one million, eight hundred thirteen thousand, two hundred forty-eight".