181020042 has 64 divisors (see below), whose sum is σ = 464567040. Its totient is φ = 51176448.

The previous prime is 181020041. The next prime is 181020079. The reversal of 181020042 is 240020181.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 181019997 and 181020024.

It is not an unprimeable number, because it can be changed into a prime (181020041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34198 + ... + 39134.

It is an arithmetic number, because the mean of its divisors is an integer number (7258860).

Almost surely, 2^181020042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181020042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232283520).

181020042 is an abundant number, since it is smaller than the sum of its proper divisors (283546998).

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

181020042 is a wasteful number, since it uses less digits than its factorization.

181020042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 181020042 is about 13454.3688815195. The cubic root of 181020042 is about 565.6861603819.

The spelling of 181020042 in words is "one hundred eighty-one million, twenty thousand, forty-two".