181168128 has 72 divisors (see below), whose sum is σ = 523300050. Its totient is φ = 60383232.

The previous prime is 181168121. The next prime is 181168129. The reversal of 181168128 is 821861181.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 117679104 + 63489024 = 10848^2 + 7968^2 .

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

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 junction number, because it is equal to n+sod(n) for n = 181168092 and 181168101.

It is not an unprimeable number, because it can be changed into a prime (181168121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13518 + ... + 23346.

Almost surely, 2^181168128 is an apocalyptic number.

181168128 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 181168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261650025).

181168128 is an abundant number, since it is smaller than the sum of its proper divisors (342131922).

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

181168128 is an equidigital number, since it uses as much as digits as its factorization.

181168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9834 counting only the distinct ones).

The product of its digits is 6144, while the sum is 36.

The square root of 181168128 is about 13459.8710246421. The cubic root of 181168128 is about 565.8403741862.

It can be divided in two parts, 18116 and 8128, that added together give a square (26244 = 162²).

The spelling of 181168128 in words is "one hundred eighty-one million, one hundred sixty-eight thousand, one hundred twenty-eight".