242737152 has 224 divisors, whose sum is σ = 792675072. Its totient is φ = 64487424.

The previous prime is 242737133. The next prime is 242737189. The reversal of 242737152 is 251737242.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×242737152² = 117842649922142208, which contains 22 as substring.

Its product of digits (23520) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

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, 2924503 + ... + 2924585.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728).

Almost surely, 2^242737152 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 242737152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396337536).

242737152 is an abundant number, since it is smaller than the sum of its proper divisors (549937920).

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

242737152 is an equidigital number, since it uses as much as digits as its factorization.

242737152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 242737152 is about 15580.0241334858. The cubic root of 242737152 is about 623.8000674399.

The spelling of 242737152 in words is "two hundred forty-two million, seven hundred thirty-seven thousand, one hundred fifty-two".