1132314144 has 96 divisors (see below), whose sum is σ = 3221910720. Its totient is φ = 346125312.

The previous prime is 1132314143. The next prime is 1132314163. The reversal of 1132314144 is 4414132311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1132314143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193047 + ... + 198825.

It is an arithmetic number, because the mean of its divisors is an integer number (33561570).

Almost surely, 2^1132314144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610955360).

1132314144 is an abundant number, since it is smaller than the sum of its proper divisors (2089596576).

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

1132314144 is a wasteful number, since it uses less digits than its factorization.

1132314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5954 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1132314144 is about 33649.8758392955. The cubic root of 1132314144 is about 1042.2909752358.

Adding to 1132314144 its reverse (4414132311), we get a palindrome (5546446455).

The spelling of 1132314144 in words is "one billion, one hundred thirty-two million, three hundred fourteen thousand, one hundred forty-four".