181444032 has 168 divisors, whose sum is σ = 648565632. Its totient is φ = 47116800.

The previous prime is 181444031. The next prime is 181444037. The reversal of 181444032 is 230444181.

181444032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 181443987 and 181444005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181444031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42307 + ... + 46397.

Almost surely, 2^181444032 is an apocalyptic number.

181444032 is a gapful number since it is divisible by the number (12) 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 181444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324282816).

181444032 is an abundant number, since it is smaller than the sum of its proper divisors (467121600).

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

181444032 is a wasteful number, since it uses less digits than its factorization.

181444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 181444032 is about 13470.1162578502. The cubic root of 181444032 is about 566.1274711127.

The spelling of 181444032 in words is "one hundred eighty-one million, four hundred forty-four thousand, thirty-two".