181506042 has 64 divisors (see below), whose sum is σ = 430047360. Its totient is φ = 56547072.

The previous prime is 181506019. The next prime is 181506047. The reversal of 181506042 is 240605181.

181506042 is a `hidden beast` number, since 1 + 8 + 1 + 50 + 604 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 181505997 and 181506015.

It is not an unprimeable number, because it can be changed into a prime (181506047) 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 31 ways as a sum of consecutive naturals, for example, 149028 + ... + 150240.

It is an arithmetic number, because the mean of its divisors is an integer number (6719490).

Almost surely, 2^181506042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181506042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215023680).

181506042 is an abundant number, since it is smaller than the sum of its proper divisors (248541318).

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

181506042 is a wasteful number, since it uses less digits than its factorization.

181506042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 181506042 is about 13472.4178230932. The cubic root of 181506042 is about 566.1919566837.

The spelling of 181506042 in words is "one hundred eighty-one million, five hundred six thousand, forty-two".