1133124443136 has 792 divisors, whose sum is σ = 4121126778496. Its totient is φ = 304570368000.

The previous prime is 1133124443131. The next prime is 1133124443159. The reversal of 1133124443136 is 6313444213311.

1133124443136 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 4 + 4 + 4 + 313 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1133124443136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133124443131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503386011 + ... + 503388261.

Almost surely, 2^{1133124443136} is an apocalyptic number.

1133124443136 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 1133124443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060563389248).

1133124443136 is an abundant number, since it is smaller than the sum of its proper divisors (2988002335360).

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

1133124443136 is an equidigital number, since it uses as much as digits as its factorization.

1133124443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2280 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 1133124443136 its reverse (6313444213311), we get a palindrome (7446568656447).

The spelling of 1133124443136 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-four million, four hundred forty-three thousand, one hundred thirty-six".