13731152 has 40 divisors (see below), whose sum is σ = 27888840. Its totient is φ = 6540800.

The previous prime is 13731143. The next prime is 13731163. The reversal of 13731152 is 25113731.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 4343056 = 3064^2 + 2084^2 .

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, 46718 + ... + 47010.

It is an arithmetic number, because the mean of its divisors is an integer number (697221).

Almost surely, 2^13731152 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 13731152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944420).

13731152 is an abundant number, since it is smaller than the sum of its proper divisors (14157688).

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

13731152 is a wasteful number, since it uses less digits than its factorization.

13731152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 13731152 is about 3705.5569082123. The cubic root of 13731152 is about 239.4614777297.

Adding to 13731152 its reverse (25113731), we get a palindrome (38844883).

The spelling of 13731152 in words is "thirteen million, seven hundred thirty-one thousand, one hundred fifty-two".