181078920 has 144 divisors (see below), whose sum is σ = 647026380. Its totient is φ = 43887360.

The previous prime is 181078907. The next prime is 181078943. The reversal of 181078920 is 29870181.

181078920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179506404 + 1572516 = 13398^2 + 1254^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41482 + ... + 45638.

Almost surely, 2^181078920 is an apocalyptic number.

181078920 is a gapful number since it is divisible by the number (10) 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 181078920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323513190).

181078920 is an abundant number, since it is smaller than the sum of its proper divisors (465947460).

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

181078920 is a wasteful number, since it uses less digits than its factorization.

181078920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 181078920 is about 13456.5567661271. The cubic root of 181078920 is about 565.7474848241.

The spelling of 181078920 in words is "one hundred eighty-one million, seventy-eight thousand, nine hundred twenty".