1134242310300 has 288 divisors, whose sum is σ = 3990187111680. Its totient is φ = 245172326400.

The previous prime is 1134242310241. The next prime is 1134242310323. The reversal of 1134242310300 is 30132424311.

It is a happy number.

It is a congruent number.

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, 533842 + ... + 1597958.

It is an arithmetic number, because the mean of its divisors is an integer number (13854816360).

Almost surely, 2^{1134242310300} is an apocalyptic number.

1134242310300 is a gapful number since it is divisible by the number (10) 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 1134242310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995093555840).

1134242310300 is an abundant number, since it is smaller than the sum of its proper divisors (2855944801380).

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

1134242310300 is a wasteful number, since it uses less digits than its factorization.

1134242310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064181 (or 1064174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1134242310300 its reverse (30132424311), we get a palindrome (1164374734611).

The spelling of 1134242310300 in words is "one trillion, one hundred thirty-four billion, two hundred forty-two million, three hundred ten thousand, three hundred".