242153000 has 64 divisors (see below), whose sum is σ = 572382720. Its totient is φ = 95880000.

The previous prime is 242152979. The next prime is 242153017. The reversal of 242153000 is 351242.

It is a self number, because there is not a number n which added to its sum of digits gives 242153000.

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, 101825 + ... + 104175.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2^242153000 is an apocalyptic number.

242153000 is a gapful number since it is divisible by the number (20) 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 242153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191360).

242153000 is an abundant number, since it is smaller than the sum of its proper divisors (330229720).

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

242153000 is a wasteful number, since it uses less digits than its factorization.

242153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 242153000 is about 15561.2660153344. The cubic root of 242153000 is about 623.2992695567.

The spelling of 242153000 in words is "two hundred forty-two million, one hundred fifty-three thousand".