242135352 has 256 divisors, whose sum is σ = 771379200. Its totient is φ = 69949440.

The previous prime is 242135339. The next prime is 242135353. The reversal of 242135352 is 253531242.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242135353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3969402 + ... + 3969462.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^242135352 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 242135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

242135352 is an abundant number, since it is smaller than the sum of its proper divisors (529243848).

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

242135352 is a wasteful number, since it uses less digits than its factorization.

242135352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 242135352 is about 15560.6989560238. The cubic root of 242135352 is about 623.2841272668.

Adding to 242135352 its reverse (253531242), we get a palindrome (495666594).

It can be divided in two parts, 2421 and 35352, that added together give a palindrome (37773).

The spelling of 242135352 in words is "two hundred forty-two million, one hundred thirty-five thousand, three hundred fifty-two".