13500540 has 96 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 3440448.

The previous prime is 13500493. The next prime is 13500551. The reversal of 13500540 is 4500531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11877 + ... + 12963.

It is an arithmetic number, because the mean of its divisors is an integer number (456960).

Almost surely, 2^13500540 is an apocalyptic number.

13500540 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 13500540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

13500540 is an abundant number, since it is smaller than the sum of its proper divisors (30367620).

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

13500540 is a wasteful number, since it uses less digits than its factorization.

13500540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13500540 is about 3674.3080981322. The cubic root of 13500540 is about 238.1133325550.

Subtracting from 13500540 its reverse (4500531), we obtain a palindrome (9000009).

It can be divided in two parts, 13500 and 540, that multiplied together give a square (7290000 = 2700²).

The spelling of 13500540 in words is "thirteen million, five hundred thousand, five hundred forty".