13789152 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 4064256.

The previous prime is 13789151. The next prime is 13789163. The reversal of 13789152 is 25198731.

13789152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13789151) 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, 108513 + ... + 108639.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^13789152 is an apocalyptic number.

13789152 is a gapful number since it is divisible by the number (12) 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 13789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13789152 is an abundant number, since it is smaller than the sum of its proper divisors (30240288).

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

13789152 is a wasteful number, since it uses less digits than its factorization.

13789152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13789152 is about 3713.3747454304. The cubic root of 13789152 is about 239.7981636396.

The spelling of 13789152 in words is "thirteen million, seven hundred eighty-nine thousand, one hundred fifty-two".