1134134100 has 216 divisors, whose sum is σ = 3917353440. Its totient is φ = 272160000.

The previous prime is 1134134093. The next prime is 1134134123. The reversal of 1134134100 is 14314311.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1078575 + ... + 1079625.

Almost surely, 2^1134134100 is an apocalyptic number.

1134134100 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 1134134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958676720).

1134134100 is an abundant number, since it is smaller than the sum of its proper divisors (2783219340).

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

1134134100 is a wasteful number, since it uses less digits than its factorization.

1134134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1134134100 is about 33676.9075183574. The cubic root of 1134134100 is about 1042.8490972402.

Adding to 1134134100 its reverse (14314311), we get a palindrome (1148448411).

The spelling of 1134134100 in words is "one billion, one hundred thirty-four million, one hundred thirty-four thousand, one hundred".