13557000 has 64 divisors (see below), whose sum is σ = 42307200. Its totient is φ = 3614400.

The previous prime is 13556999. The next prime is 13557017. The reversal of 13557000 is 75531.

It is a happy number.

13557000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 741 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (661050).

Almost surely, 2^13557000 is an apocalyptic number.

13557000 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 13557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153600).

13557000 is an abundant number, since it is smaller than the sum of its proper divisors (28750200).

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

13557000 is a wasteful number, since it uses less digits than its factorization.

13557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 13557000 is about 3681.9831612869. The cubic root of 13557000 is about 238.4448052508. Note that the first 3 decimals are identical.

The spelling of 13557000 in words is "thirteen million, five hundred fifty-seven thousand".