181041120 has 288 divisors, whose sum is σ = 701719200. Its totient is φ = 42135552.

The previous prime is 181041103. The next prime is 181041127. The reversal of 181041120 is 21140181.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 181041093 and 181041102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181041127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355426 + ... + 355934.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^181041120 is an apocalyptic number.

181041120 is a gapful number since it is divisible by the number (10) 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 181041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

181041120 is an abundant number, since it is smaller than the sum of its proper divisors (520678080).

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

181041120 is a wasteful number, since it uses less digits than its factorization.

181041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 181041120 is about 13455.1521730525. The cubic root of 181041120 is about 565.7081157226.

The spelling of 181041120 in words is "one hundred eighty-one million, forty-one thousand, one hundred twenty".