13142752 has 48 divisors (see below), whose sum is σ = 30868992. Its totient is φ = 5385600.

The previous prime is 13142749. The next prime is 13142761. The reversal of 13142752 is 25724131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3877 + ... + 6427.

It is an arithmetic number, because the mean of its divisors is an integer number (643104).

Almost surely, 2^13142752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434496).

13142752 is an abundant number, since it is smaller than the sum of its proper divisors (17726240).

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

13142752 is a wasteful number, since it uses less digits than its factorization.

13142752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 13142752 is about 3625.2933674394. The cubic root of 13142752 is about 235.9909984118.

Adding to 13142752 its reverse (25724131), we get a palindrome (38866883).

The spelling of 13142752 in words is "thirteen million, one hundred forty-two thousand, seven hundred fifty-two".