181379016 has 384 divisors, whose sum is σ = 670924800. Its totient is φ = 42923520.

The previous prime is 181378999. The next prime is 181379027. The reversal of 181379016 is 610973181.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3859105 + ... + 3859151.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^181379016 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 181379016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335462400).

181379016 is an abundant number, since it is smaller than the sum of its proper divisors (489545784).

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

181379016 is a wasteful number, since it uses less digits than its factorization.

181379016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 181379016 is about 13467.7026994213. The cubic root of 181379016 is about 566.0598437559.

The spelling of 181379016 in words is "one hundred eighty-one million, three hundred seventy-nine thousand, sixteen".