13385152 has 28 divisors (see below), whose sum is σ = 28977336. Its totient is φ = 6083840.

The previous prime is 13385123. The next prime is 13385167. The reversal of 13385152 is 25158331.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13385152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8803 + ... + 10210.

Almost surely, 2^13385152 is an apocalyptic number.

It is an amenable number.

13385152 is an abundant number, since it is smaller than the sum of its proper divisors (15592184).

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

13385152 is a wasteful number, since it uses less digits than its factorization.

13385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19036 (or 19026 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 13385152 is about 3658.5723991743. The cubic root of 13385152 is about 237.4330123173.

It can be divided in two parts, 133851 and 52, that added together give a triangular number (133903 = T₅₁₇).

The spelling of 13385152 in words is "thirteen million, three hundred eighty-five thousand, one hundred fifty-two".