1135537142085 has 96 divisors (see below), whose sum is σ = 2021714173440. Its totient is φ = 589556430720.

The previous prime is 1135537142083. The next prime is 1135537142087. The reversal of 1135537142085 is 5802417355311.

1135537142085 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 537 + 14 + 20 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (1135537142083) and next prime (1135537142087).

It is not a de Polignac number, because 1135537142085 - 2¹ = 1135537142083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1135537142085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135537142081) 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 95 ways as a sum of consecutive naturals, for example, 1092912996 + ... + 1092914034.

It is an arithmetic number, because the mean of its divisors is an integer number (21059522640).

Almost surely, 2^{1135537142085} is an apocalyptic number.

1135537142085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1135537142085 is a deficient number, since it is larger than the sum of its proper divisors (886177031355).

1135537142085 is an equidigital number, since it uses as much as digits as its factorization.

1135537142085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1135537142085 in words is "one trillion, one hundred thirty-five billion, five hundred thirty-seven million, one hundred forty-two thousand, eighty-five".