181152114 has 96 divisors (see below), whose sum is σ = 434808000. Its totient is φ = 49870080.

The previous prime is 181152109. The next prime is 181152131. The reversal of 181152114 is 411251181.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1215712 + ... + 1215860.

It is an arithmetic number, because the mean of its divisors is an integer number (4529250).

Almost surely, 2^181152114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181152114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217404000).

181152114 is an abundant number, since it is smaller than the sum of its proper divisors (253655886).

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

181152114 is a wasteful number, since it uses less digits than its factorization.

181152114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 320, while the sum is 24.

The square root of 181152114 is about 13459.2761320957. The cubic root of 181152114 is about 565.8237015796.

The spelling of 181152114 in words is "one hundred eighty-one million, one hundred fifty-two thousand, one hundred fourteen".