1133136 has 80 divisors (see below), whose sum is σ = 3382720. Its totient is φ = 362880.

The previous prime is 1133131. The next prime is 1133147. The reversal of 1133136 is 6313311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18546 + ... + 18606.

It is an arithmetic number, because the mean of its divisors is an integer number (42284).

2^1133136 is an apocalyptic number.

1133136 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 1133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691360).

1133136 is an abundant number, since it is smaller than the sum of its proper divisors (2249584).

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

1133136 is a wasteful number, since it uses less digits than its factorization.

1133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 1133136 is about 1064.4886096150. The cubic root of 1133136 is about 104.2543086051.

Adding to 1133136 its reverse (6313311), we get a palindrome (7446447).

It can be divided in two parts, 113 and 3136, that added together give a square (3249 = 57²).

The spelling of 1133136 in words is "one million, one hundred thirty-three thousand, one hundred thirty-six".