13538208153 has 8 divisors (see below), whose sum is σ = 18060558400. Its totient is φ = 9020665008.

The previous prime is 13538208143. The next prime is 13538208197. The reversal of 13538208153 is 35180283531.

13538208153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13538208153 - 2⁴ = 13538208137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13538208133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1195198 + ... + 1206471.

It is an arithmetic number, because the mean of its divisors is an integer number (2257569800).

Almost surely, 2^13538208153 is an apocalyptic number.

It is an amenable number.

13538208153 is a deficient number, since it is larger than the sum of its proper divisors (4522350247).

13538208153 is a wasteful number, since it uses less digits than its factorization.

13538208153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403551.

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 13538208153 in words is "thirteen billion, five hundred thirty-eight million, two hundred eight thousand, one hundred fifty-three".