242551134000 has 480 divisors, whose sum is σ = 974053656576. Its totient is φ = 55103500800.

The previous prime is 242551133963. The next prime is 242551134013. The reversal of 242551134000 is 431155242.

242551134000 is a `hidden beast` number, since 2 + 4 + 255 + 1 + 1 + 3 + 400 + 0 = 666.

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, 21036237 + ... + 21047763.

Almost surely, 2^242551134000 is an apocalyptic number.

242551134000 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 242551134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487026828288).

242551134000 is an abundant number, since it is smaller than the sum of its proper divisors (731502522576).

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

242551134000 is a wasteful number, since it uses less digits than its factorization.

242551134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 242551134000 its reverse (431155242), we get a palindrome (242982289242).

The spelling of 242551134000 in words is "two hundred forty-two billion, five hundred fifty-one million, one hundred thirty-four thousand".