13540035132 has 144 divisors (see below), whose sum is σ = 38938841760. Its totient is φ = 3932665344.

The previous prime is 13540035121. The next prime is 13540035193. The reversal of 13540035132 is 23153004531.

It is a junction number, because it is equal to n+sod(n) for n = 13540035096 and 13540035105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2602758 + ... + 2607954.

Almost surely, 2^13540035132 is an apocalyptic number.

13540035132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540035132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19469420880).

13540035132 is an abundant number, since it is smaller than the sum of its proper divisors (25398806628).

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

13540035132 is a wasteful number, since it uses less digits than its factorization.

13540035132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13540035132 its reverse (23153004531), we get a palindrome (36693039663).

The spelling of 13540035132 in words is "thirteen billion, five hundred forty million, thirty-five thousand, one hundred thirty-two".