1132140672 has 256 divisors, whose sum is σ = 3646540800. Its totient is φ = 343719936.

The previous prime is 1132140649. The next prime is 1132140673. The reversal of 1132140672 is 2760412311.

It is a super-3 number, since 3×1132140672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1132140673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5076753 + ... + 5076975.

It is an arithmetic number, because the mean of its divisors is an integer number (14244300).

Almost surely, 2^1132140672 is an apocalyptic number.

1132140672 is a gapful number since it is divisible by the number (12) 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 1132140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823270400).

1132140672 is an abundant number, since it is smaller than the sum of its proper divisors (2514400128).

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

1132140672 is a wasteful number, since it uses less digits than its factorization.

1132140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1132140672 is about 33647.2981381864. The cubic root of 1132140672 is about 1042.2377457396.

Adding to 1132140672 its reverse (2760412311), we get a palindrome (3892552983).

The spelling of 1132140672 in words is "one billion, one hundred thirty-two million, one hundred forty thousand, six hundred seventy-two".