13557124 has 27 divisors (see below), whose sum is σ = 27703767. Its totient is φ = 5788104.

The previous prime is 13557119. The next prime is 13557149. The reversal of 13557124 is 42175531.

It is a happy number.

The square root of 13557124 is 3682.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×13557124² = 367591222302752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13557092 and 13557101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51417 + ... + 51679.

Almost surely, 2^13557124 is an apocalyptic number.

13557124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13557124 is the 3682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13557124

13557124 is an abundant number, since it is smaller than the sum of its proper divisors (14146643).

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

13557124 is an equidigital number, since it uses as much as digits as its factorization.

13557124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The cubic root of 13557124 is about 238.4455322323.

The spelling of 13557124 in words is "thirteen million, five hundred fifty-seven thousand, one hundred twenty-four".