1147136256 has 270 divisors, whose sum is σ = 3982534710. Its totient is φ = 327462912.

The previous prime is 1147136213. The next prime is 1147136257. The reversal of 1147136256 is 6526317411.

1147136256 is a `hidden beast` number, since 1 + 14 + 7 + 13 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 406425600 = 27216^2 + 20160^2 .

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 1147136256.

It is not an unprimeable number, because it can be changed into a prime (1147136257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015500 + ... + 1016628.

Almost surely, 2^1147136256 is an apocalyptic number.

1147136256 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 1147136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991267355).

1147136256 is an abundant number, since it is smaller than the sum of its proper divisors (2835398454).

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

1147136256 is an equidigital number, since it uses as much as digits as its factorization.

1147136256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1141 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1147136256 is about 33869.3999946855. The cubic root of 1147136256 is about 1046.8191738684.

The spelling of 1147136256 in words is "one billion, one hundred forty-seven million, one hundred thirty-six thousand, two hundred fifty-six".