243145134000 has 480 divisors, whose sum is σ = 875698933824. Its totient is φ = 62841139200.

The previous prime is 243145133993. The next prime is 243145134059. The reversal of 243145134000 is 431541342.

It is a happy number.

243145134000 is a `hidden beast` number, since 2 + 4 + 314 + 5 + 1 + 340 + 0 + 0 = 666.

243145134000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106036854 + ... + 106039146.

Almost surely, 2^243145134000 is an apocalyptic number.

243145134000 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 243145134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437849466912).

243145134000 is an abundant number, since it is smaller than the sum of its proper divisors (632553799824).

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

243145134000 is a wasteful number, since it uses less digits than its factorization.

243145134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 243145134000 its reverse (431541342), we get a palindrome (243576675342).

The spelling of 243145134000 in words is "two hundred forty-three billion, one hundred forty-five million, one hundred thirty-four thousand".