13540040125 has 16 divisors (see below), whose sum is σ = 16904322864. Its totient is φ = 10827960000.

The previous prime is 13540040123. The next prime is 13540040149. The reversal of 13540040125 is 52104004531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 897961156 + 12642078969 = 29966^2 + 112437^2 .

It is not a de Polignac number, because 13540040125 - 2¹ = 13540040123 is a prime.

It is a super-2 number, since 2×13540040125² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13540040125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540040123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338695 + ... + 376555.

It is an arithmetic number, because the mean of its divisors is an integer number (1056520179).

Almost surely, 2^13540040125 is an apocalyptic number.

It is an amenable number.

13540040125 is a deficient number, since it is larger than the sum of its proper divisors (3364282739).

13540040125 is an equidigital number, since it uses as much as digits as its factorization.

13540040125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40737 (or 40727 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 13540040125 its reverse (52104004531), we get a palindrome (65644044656).

The spelling of 13540040125 in words is "thirteen billion, five hundred forty million, forty thousand, one hundred twenty-five".