1131540286032 has 120 divisors (see below), whose sum is σ = 3610944837864. Its totient is φ = 327685865472.

The previous prime is 1131540286031. The next prime is 1131540286073. The reversal of 1131540286032 is 2306820451311.

1131540286032 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 40 + 2 + 8 + 603 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 814303296 + 1130725982736 = 28536^2 + 1063356^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131540286031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17746273 + ... + 17809920.

Almost surely, 2^{1131540286032} is an apocalyptic number.

1131540286032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131540286032 is an abundant number, since it is smaller than the sum of its proper divisors (2479404551832).

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

1131540286032 is a wasteful number, since it uses less digits than its factorization.

1131540286032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35556237 (or 35556228 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1131540286032 in words is "one trillion, one hundred thirty-one billion, five hundred forty million, two hundred eighty-six thousand, thirty-two".