218180142 has 80 divisors (see below), whose sum is σ = 521413200. Its totient is φ = 67951872.

The previous prime is 218180117. The next prime is 218180153. The reversal of 218180142 is 241081812.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624984 + ... + 625332.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^218180142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218180142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260706600).

218180142 is an abundant number, since it is smaller than the sum of its proper divisors (303233058).

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

218180142 is a wasteful number, since it uses less digits than its factorization.

218180142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 218180142 is about 14770.9221783882. The cubic root of 218180142 is about 602.0118962488.

The spelling of 218180142 in words is "two hundred eighteen million, one hundred eighty thousand, one hundred forty-two".