1132145856 has 112 divisors (see below), whose sum is σ = 3503574400. Its totient is φ = 357509376.

The previous prime is 1132145851. The next prime is 1132145857. The reversal of 1132145856 is 6585412311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1132145856.

It is not an unprimeable number, because it can be changed into a prime (1132145851) 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, 15591 + ... + 50073.

Almost surely, 2^1132145856 is an apocalyptic number.

1132145856 is a gapful number since it is divisible by the number (16) 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 1132145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751787200).

1132145856 is an abundant number, since it is smaller than the sum of its proper divisors (2371428544).

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

1132145856 is a wasteful number, since it uses less digits than its factorization.

1132145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34523 (or 34507 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1132145856 is about 33647.3751725153. The cubic root of 1132145856 is about 1042.2393365172.

The spelling of 1132145856 in words is "one billion, one hundred thirty-two million, one hundred forty-five thousand, eight hundred fifty-six".