242138112 has 132 divisors (see below), whose sum is σ = 679194600. Its totient is φ = 76685312.

The previous prime is 242138053. The next prime is 242138119. The reversal of 242138112 is 211831242.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242138119) 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 11 ways as a sum of consecutive naturals, for example, 1625014 + ... + 1625162.

Almost surely, 2^242138112 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 242138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339597300).

242138112 is an abundant number, since it is smaller than the sum of its proper divisors (437056488).

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

242138112 is a wasteful number, since it uses less digits than its factorization.

242138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 242138112 is about 15560.7876407334. The cubic root of 242138112 is about 623.2864954432.

Adding to 242138112 its reverse (211831242), we get a palindrome (453969354).

The spelling of 242138112 in words is "two hundred forty-two million, one hundred thirty-eight thousand, one hundred twelve".