181312992 has 144 divisors (see below), whose sum is σ = 611275392. Its totient is φ = 51788160.

The previous prime is 181312951. The next prime is 181313003. The reversal of 181312992 is 299213181.

It is a tau number, because it is divible by the number of its divisors (144).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52767 + ... + 56097.

It is an arithmetic number, because the mean of its divisors is an integer number (4244968).

Almost surely, 2^181312992 is an apocalyptic number.

181312992 is a gapful number since it is divisible by the number (12) 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 181312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305637696).

181312992 is an abundant number, since it is smaller than the sum of its proper divisors (429962400).

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

181312992 is an equidigital number, since it uses as much as digits as its factorization.

181312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3343 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 181312992 is about 13465.2512787545. The cubic root of 181312992 is about 565.9911513723.

It can be divided in two parts, 18 and 1312992, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 181312992 in words is "one hundred eighty-one million, three hundred twelve thousand, nine hundred ninety-two".