242136576 has 240 divisors, whose sum is σ = 810068688. Its totient is φ = 68812800.

The previous prime is 242136553. The next prime is 242136577. The reversal of 242136576 is 675631242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242136576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242136577) 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 23 ways as a sum of consecutive naturals, for example, 861556 + ... + 861836.

Almost surely, 2^242136576 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 242136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405034344).

242136576 is an abundant number, since it is smaller than the sum of its proper divisors (567932112).

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

242136576 is a wasteful number, since it uses less digits than its factorization.

242136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 242136576 is about 15560.7382858269. The cubic root of 242136576 is about 623.2851775038.

The spelling of 242136576 in words is "two hundred forty-two million, one hundred thirty-six thousand, five hundred seventy-six".