181302048 has 72 divisors (see below), whose sum is σ = 518017500. Its totient is φ = 60148224.

The previous prime is 181302007. The next prime is 181302049. The reversal of 181302048 is 840203181.

181302048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180956304 + 345744 = 13452^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (181302049) 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 11 ways as a sum of consecutive naturals, for example, 64578 + ... + 67326.

Almost surely, 2^181302048 is an apocalyptic number.

181302048 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 181302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259008750).

181302048 is an abundant number, since it is smaller than the sum of its proper divisors (336715452).

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

181302048 is a wasteful number, since it uses less digits than its factorization.

181302048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 181302048 is about 13464.8448932767. The cubic root of 181302048 is about 565.9797634555.

The spelling of 181302048 in words is "one hundred eighty-one million, three hundred two thousand, forty-eight".