1134315200 has 84 divisors (see below), whose sum is σ = 2938104360. Its totient is φ = 429834240.

The previous prime is 1134315121. The next prime is 1134315209. The reversal of 1134315200 is 25134311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1134315209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11744 + ... + 49056.

Almost surely, 2^1134315200 is an apocalyptic number.

1134315200 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 1134315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469052180).

1134315200 is an abundant number, since it is smaller than the sum of its proper divisors (1803789160).

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

1134315200 is a wasteful number, since it uses less digits than its factorization.

1134315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37354 (or 37339 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1134315200 is about 33679.5961971043. The cubic root of 1134315200 is about 1042.9046021168.

Adding to 1134315200 its reverse (25134311), we get a palindrome (1159449511).

The spelling of 1134315200 in words is "one billion, one hundred thirty-four million, three hundred fifteen thousand, two hundred".