181225344 has 128 divisors (see below), whose sum is σ = 516528000. Its totient is φ = 56125440.

The previous prime is 181225309. The next prime is 181225351. The reversal of 181225344 is 443522181.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430254 + ... + 430674.

It is an arithmetic number, because the mean of its divisors is an integer number (4035375).

Almost surely, 2^181225344 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 181225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258264000).

181225344 is an abundant number, since it is smaller than the sum of its proper divisors (335302656).

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

181225344 is a wasteful number, since it uses less digits than its factorization.

181225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 181225344 is about 13461.9962858411. The cubic root of 181225344 is about 565.8999352793.

The spelling of 181225344 in words is "one hundred eighty-one million, two hundred twenty-five thousand, three hundred forty-four".