13138524 has 72 divisors (see below), whose sum is σ = 39381888. Its totient is φ = 3751920.

The previous prime is 13138523. The next prime is 13138529. The reversal of 13138524 is 42583131.

It is a happy number.

13138524 is a `hidden beast` number, since 1 + 3 + 138 + 524 = 666.

13138524 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

13138524 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138523) 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, 5839 + ... + 7769.

Almost surely, 2^13138524 is an apocalyptic number.

13138524 is a gapful number since it is divisible by the number (14) 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 13138524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19690944).

13138524 is an abundant number, since it is smaller than the sum of its proper divisors (26243364).

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

13138524 is a wasteful number, since it uses less digits than its factorization.

13138524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1943 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13138524 is about 3624.7101953122. The cubic root of 13138524 is about 235.9656897359.

The spelling of 13138524 in words is "thirteen million, one hundred thirty-eight thousand, five hundred twenty-four".