1132178256 has 160 divisors (see below), whose sum is σ = 3586377600. Its totient is φ = 339102720.

The previous prime is 1132178237. The next prime is 1132178263. The reversal of 1132178256 is 6528712311.

1132178256 is a `hidden beast` number, since 11 + 321 + 78 + 256 = 666.

1132178256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1132178256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421590 + ... + 424266.

It is an arithmetic number, because the mean of its divisors is an integer number (22414860).

Almost surely, 2^1132178256 is an apocalyptic number.

1132178256 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 1132178256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793188800).

1132178256 is an abundant number, since it is smaller than the sum of its proper divisors (2454199344).

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

1132178256 is a wasteful number, since it uses less digits than its factorization.

1132178256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2782 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1132178256 is about 33647.8566330755. The cubic root of 1132178256 is about 1042.2492787675.

The spelling of 1132178256 in words is "one billion, one hundred thirty-two million, one hundred seventy-eight thousand, two hundred fifty-six".