13534521240 has 64 divisors (see below), whose sum is σ = 40700620800. Its totient is φ = 3600578432.

The previous prime is 13534521223. The next prime is 13534521263. The reversal of 13534521240 is 4212543531.

13534521240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13534521240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13534521198 and 13534521207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84312 + ... + 184871.

It is an arithmetic number, because the mean of its divisors is an integer number (635947200).

Almost surely, 2^13534521240 is an apocalyptic number.

13534521240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13534521240 is an abundant number, since it is smaller than the sum of its proper divisors (27166099560).

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

13534521240 is a wasteful number, since it uses less digits than its factorization.

13534521240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269616 (or 269612 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13534521240 in words is "thirteen billion, five hundred thirty-four million, five hundred twenty-one thousand, two hundred forty".