13538000 has 80 divisors (see below), whose sum is σ = 37449984. Its totient is φ = 4636800.

The previous prime is 13537987. The next prime is 13538009. The reversal of 13538000 is 83531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13517 + ... + 14483.

Almost surely, 2^13538000 is an apocalyptic number.

13538000 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 13538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724992).

13538000 is an abundant number, since it is smaller than the sum of its proper divisors (23911984).

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

13538000 is an equidigital number, since it uses as much as digits as its factorization.

13538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13538000 is about 3679.4021253459. The cubic root of 13538000 is about 238.3333605012. Note that the first 4 decimals are identical.

The spelling of 13538000 in words is "thirteen million, five hundred thirty-eight thousand".