13557120 has 128 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 3446784.

The previous prime is 13557119. The next prime is 13557149. The reversal of 13557120 is 2175531.

13557120 is digitally balanced in base 2, because in such base 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44007 + ... + 44313.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 2^13557120 is an apocalyptic number.

13557120 is a gapful number since it is divisible by the number (10) 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 13557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

13557120 is an abundant number, since it is smaller than the sum of its proper divisors (31681920).

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

13557120 is a wasteful number, since it uses less digits than its factorization.

13557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 13557120 is about 3681.9994568169. Note that the first 3 decimals coincide. The cubic root of 13557120 is about 238.4455087813.

The spelling of 13557120 in words is "thirteen million, five hundred fifty-seven thousand, one hundred twenty".