242136 has 64 divisors (see below), whose sum is σ = 720000. Its totient is φ = 75168.

The previous prime is 242129. The next prime is 242147. The reversal of 242136 is 631242.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4075 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2²⁴²¹³⁶ 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 242136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360000).

242136 is an abundant number, since it is smaller than the sum of its proper divisors (477864).

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

242136 is a wasteful number, since it uses less digits than its factorization.

242136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 242136 is about 492.0731652915. The cubic root of 242136 is about 62.3284683275.

Adding to 242136 its reverse (631242), we get a palindrome (873378).

It can be divided in two parts, 242 and 136, that added together give a triangular number (378 = T₂₇).

The spelling of 242136 in words is "two hundred forty-two thousand, one hundred thirty-six".