1132540105005 has 20 divisors (see below), whose sum is σ = 2030183003772. Its totient is φ = 604021389120.

The previous prime is 1132540104979. The next prime is 1132540105033. The reversal of 1132540105005 is 5005010452311.

1132540105005 is a `hidden beast` number, since 1 + 13 + 2 + 540 + 105 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 717590269449 + 414949835556 = 847107^2 + 644166^2 .

It is not a de Polignac number, because 1132540105005 - 2⁵ = 1132540104973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1132540105005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1398197256 + ... + 1398198065.

Almost surely, 2^{1132540105005} is an apocalyptic number.

1132540105005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1132540105005 is a deficient number, since it is larger than the sum of its proper divisors (897642898767).

1132540105005 is an equidigital number, since it uses as much as digits as its factorization.

1132540105005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796395338 (or 2796395329 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 1132540105005 its reverse (5005010452311), we get a palindrome (6137550557316).

The spelling of 1132540105005 in words is "one trillion, one hundred thirty-two billion, five hundred forty million, one hundred five thousand, five".