13538022152 has 36 divisors (see below), whose sum is σ = 26248818015. Its totient is φ = 6545719440.

The previous prime is 13538022143. The next prime is 13538022163. The reversal of 13538022152 is 25122083531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13538022152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6769011076 + 6769011076 = 82274^2 + 82274^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=82274.

It is a super-3 number, since 3×13538022152³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 8 ways as a sum of consecutive naturals, for example, 10201313 + ... + 10202639.

Almost surely, 2^13538022152 is an apocalyptic number.

It is an amenable number.

13538022152 is a deficient number, since it is larger than the sum of its proper divisors (12710795863).

13538022152 is an frugal number, since it uses more digits than its factorization.

13538022152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Multiplying 13538022152 by its sum of digits (32), we get a square (433216708864 = 658192²).

The spelling of 13538022152 in words is "thirteen billion, five hundred thirty-eight million, twenty-two thousand, one hundred fifty-two".