242134200 has 288 divisors, whose sum is σ = 1014399360. Its totient is φ = 50284800.

The previous prime is 242134187. The next prime is 242134223. The reversal of 242134200 is 2431242.

242134200 is a `hidden beast` number, since 242 + 1 + 3 + 420 + 0 = 666.

242134200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137727 + ... + 139473.

It is an arithmetic number, because the mean of its divisors is an integer number (3522220).

Almost surely, 2^242134200 is an apocalyptic number.

242134200 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 242134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507199680).

242134200 is an abundant number, since it is smaller than the sum of its proper divisors (772265160).

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

242134200 is a wasteful number, since it uses less digits than its factorization.

242134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242134200 is about 15560.6619396477. The cubic root of 242134200 is about 623.2831388053.

Adding to 242134200 its reverse (2431242), we get a palindrome (244565442).

The spelling of 242134200 in words is "two hundred forty-two million, one hundred thirty-four thousand, two hundred".