1133540529120 has 672 divisors, whose sum is σ = 4207428126720. Its totient is φ = 288098933760.

The previous prime is 1133540529103. The next prime is 1133540529161. The reversal of 1133540529120 is 219250453311.

It is a happy number.

1133540529120 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 5 + 4 + 0 + 529 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 242258941 + ... + 242263619.

It is an arithmetic number, because the mean of its divisors is an integer number (6261053760).

Almost surely, 2^{1133540529120} is an apocalyptic number.

1133540529120 is a gapful number since it is divisible by the number (10) 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 1133540529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103714063360).

1133540529120 is an abundant number, since it is smaller than the sum of its proper divisors (3073887597600).

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

1133540529120 is an equidigital number, since it uses as much as digits as its factorization.

1133540529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1133540529120 in words is "one trillion, one hundred thirty-three billion, five hundred forty million, five hundred twenty-nine thousand, one hundred twenty".