181312956 has 144 divisors (see below), whose sum is σ = 552883968. Its totient is φ = 49420800.

The previous prime is 181312951. The next prime is 181313003. The reversal of 181312956 is 659213181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 181312956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181312951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154251 + ... + 155421.

It is an arithmetic number, because the mean of its divisors is an integer number (3839472).

Almost surely, 2^181312956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181312956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276441984).

181312956 is an abundant number, since it is smaller than the sum of its proper divisors (371571012).

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

181312956 is a wasteful number, since it uses less digits than its factorization.

181312956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1227 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 181312956 is about 13465.2499419803. The cubic root of 181312956 is about 565.9911139128.

The spelling of 181312956 in words is "one hundred eighty-one million, three hundred twelve thousand, nine hundred fifty-six".