242136048 has 200 divisors, whose sum is σ = 800234496. Its totient is φ = 62563200.

The previous prime is 242136043. The next prime is 242136067. The reversal of 242136048 is 840631242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242136043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1267633 + ... + 1267823.

Almost surely, 2^242136048 is an apocalyptic number.

242136048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242136048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400117248).

242136048 is an abundant number, since it is smaller than the sum of its proper divisors (558098448).

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

242136048 is a wasteful number, since it uses less digits than its factorization.

242136048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 242136048 is about 15560.7213200417. The cubic root of 242136048 is about 623.2847244608.

The spelling of 242136048 in words is "two hundred forty-two million, one hundred thirty-six thousand, forty-eight".