180905742 has 12 divisors (see below), whose sum is σ = 391962480. Its totient is φ = 60301908.

The previous prime is 180905723. The next prime is 180905743. The reversal of 180905742 is 247509081.

180905742 is a `hidden beast` number, since 1 + 80 + 9 + 0 + 574 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 180905697 and 180905706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180905743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5025142 + ... + 5025177.

It is an arithmetic number, because the mean of its divisors is an integer number (32663540).

Almost surely, 2^180905742 is an apocalyptic number.

180905742 is an abundant number, since it is smaller than the sum of its proper divisors (211056738).

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

180905742 is a wasteful number, since it uses less digits than its factorization.

180905742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050327 (or 10050324 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 180905742 is about 13450.1205199061. The cubic root of 180905742 is about 565.5670731232.

It can be divided in two parts, 18090 and 5742, that added together give a palindrome (23832).

The spelling of 180905742 in words is "one hundred eighty million, nine hundred five thousand, seven hundred forty-two".