242152144 has 20 divisors (see below), whose sum is σ = 505260196. Its totient is φ = 111762432.

The previous prime is 242152123. The next prime is 242152147. The reversal of 242152144 is 441251242.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 222010000 = 4488^2 + 14900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242152147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 581889 + ... + 582304.

Almost surely, 2^242152144 is an apocalyptic number.

It is an amenable number.

242152144 is an abundant number, since it is smaller than the sum of its proper divisors (263108052).

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

242152144 is a wasteful number, since it uses less digits than its factorization.

242152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164214 (or 1164208 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 242152144 is about 15561.2385111212. The cubic root of 242152144 is about 623.2985351108.

The spelling of 242152144 in words is "two hundred forty-two million, one hundred fifty-two thousand, one hundred forty-four".