181978112 has 44 divisors (see below), whose sum is σ = 369049536. Its totient is φ = 89671680.

The previous prime is 181978109. The next prime is 181978117. The reversal of 181978112 is 211879181.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181978117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71453 + ... + 73955.

Almost surely, 2^181978112 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 181978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184524768).

181978112 is an abundant number, since it is smaller than the sum of its proper divisors (187071424).

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

181978112 is an equidigital number, since it uses as much as digits as its factorization.

181978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2576 counting only the distinct ones).

The product of its digits is 8064, while the sum is 38.

The square root of 181978112 is about 13489.9263155882. The cubic root of 181978112 is about 566.6823918743.

The spelling of 181978112 in words is "one hundred eighty-one million, nine hundred seventy-eight thousand, one hundred twelve".