13538208152 has 64 divisors (see below), whose sum is σ = 29973258240. Its totient is φ = 5609865600.

The previous prime is 13538208143. The next prime is 13538208197. The reversal of 13538208152 is 25180283531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394593 + ... + 2400239.

It is an arithmetic number, because the mean of its divisors is an integer number (468332160).

Almost surely, 2^13538208152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13538208152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986629120).

13538208152 is an abundant number, since it is smaller than the sum of its proper divisors (16435050088).

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

13538208152 is a wasteful number, since it uses less digits than its factorization.

13538208152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 13538208152 in words is "thirteen billion, five hundred thirty-eight million, two hundred eight thousand, one hundred fifty-two".