13135142144 has 36 divisors (see below), whose sum is σ = 27123093060. Its totient is φ = 6341099520.

The previous prime is 13135142129. The next prime is 13135142203. The reversal of 13135142144 is 44124153131.

It can be written as a sum of positive squares in 2 ways, for example, as 2508006400 + 10627135744 = 50080^2 + 103088^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 877217 + ... + 892064.

Almost surely, 2^13135142144 is an apocalyptic number.

It is an amenable number.

13135142144 is an abundant number, since it is smaller than the sum of its proper divisors (13987950916).

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

13135142144 is an equidigital number, since it uses as much as digits as its factorization.

13135142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769326 (or 1769312 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

Adding to 13135142144 its reverse (44124153131), we get a palindrome (57259295275).

The spelling of 13135142144 in words is "thirteen billion, one hundred thirty-five million, one hundred forty-two thousand, one hundred forty-four".