13539456 has 192 divisors, whose sum is σ = 47099520. Its totient is φ = 3649536.

The previous prime is 13539451. The next prime is 13539511. The reversal of 13539456 is 65493531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48600) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 13539456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13539451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185436 + ... + 185508.

It is an arithmetic number, because the mean of its divisors is an integer number (245310).

Almost surely, 2^13539456 is an apocalyptic number.

13539456 is a gapful number since it is divisible by the number (16) 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 13539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549760).

13539456 is an abundant number, since it is smaller than the sum of its proper divisors (33560064).

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

13539456 is a wasteful number, since it uses less digits than its factorization.

13539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13539456 is about 3679.5999782585. The cubic root of 13539456 is about 238.3419043760.

The spelling of 13539456 in words is "thirteen million, five hundred thirty-nine thousand, four hundred fifty-six".