181149696 has 336 divisors, whose sum is σ = 667902144. Its totient is φ = 47775744.

The previous prime is 181149691. The next prime is 181149697. The reversal of 181149696 is 696941181.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×181149696³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181149691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934586 + ... + 13934598.

It is an arithmetic number, because the mean of its divisors is an integer number (1987804).

Almost surely, 2^181149696 is an apocalyptic number.

181149696 is a gapful number since it is divisible by the number (16) 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 181149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333951072).

181149696 is an abundant number, since it is smaller than the sum of its proper divisors (486752448).

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

181149696 is an frugal number, since it uses more digits than its factorization.

181149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 181149696 is about 13459.1863052712. The cubic root of 181149696 is about 565.8211840493.

The spelling of 181149696 in words is "one hundred eighty-one million, one hundred forty-nine thousand, six hundred ninety-six".