1134340420200 has 192 divisors, whose sum is σ = 3790799040000. Its totient is φ = 278938598400.

The previous prime is 1134340420193. The next prime is 1134340420217. The reversal of 1134340420200 is 20240434311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7656426 + ... + 7803174.

It is an arithmetic number, because the mean of its divisors is an integer number (19743745000).

Almost surely, 2^{1134340420200} is an apocalyptic number.

1134340420200 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 1134340420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895399520000).

1134340420200 is an abundant number, since it is smaller than the sum of its proper divisors (2656458619800).

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

1134340420200 is a wasteful number, since it uses less digits than its factorization.

1134340420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147772 (or 147763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1134340420200 its reverse (20240434311), we get a palindrome (1154580854511).

The spelling of 1134340420200 in words is "one trillion, one hundred thirty-four billion, three hundred forty million, four hundred twenty thousand, two hundred".