1132114400 has 36 divisors (see below), whose sum is σ = 2763776232. Its totient is φ = 452845440.

The previous prime is 1132114393. The next prime is 1132114421. The reversal of 1132114400 is 44112311.

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 5 ways as a sum of consecutive naturals, for example, 706772 + ... + 708371.

It is an arithmetic number, because the mean of its divisors is an integer number (76771562).

Almost surely, 2^1132114400 is an apocalyptic number.

1132114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132114400 is an abundant number, since it is smaller than the sum of its proper divisors (1631661832).

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

1132114400 is a wasteful number, since it uses less digits than its factorization.

1132114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415163 (or 1415150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1132114400 is about 33646.9077331038. The cubic root of 1132114400 is about 1042.2296837609.

Adding to 1132114400 its reverse (44112311), we get a palindrome (1176226711).

The spelling of 1132114400 in words is "one billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred".