13532135540 has 288 divisors, whose sum is σ = 37919363328. Its totient is φ = 3939840000.

The previous prime is 13532135459. The next prime is 13532135579. The reversal of 13532135540 is 4553123531.

It is a junction number, because it is equal to n+sod(n) for n = 13532135497 and 13532135506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56149820 + ... + 56150060.

It is an arithmetic number, because the mean of its divisors is an integer number (131664456).

Almost surely, 2^13532135540 is an apocalyptic number.

13532135540 is a gapful number since it is divisible by the number (10) 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 13532135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959681664).

13532135540 is an abundant number, since it is smaller than the sum of its proper divisors (24387227788).

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

13532135540 is a wasteful number, since it uses less digits than its factorization.

13532135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 13532135540 in words is "thirteen billion, five hundred thirty-two million, one hundred thirty-five thousand, five hundred forty".