13500240 has 80 divisors (see below), whose sum is σ = 45080448. Its totient is φ = 3322368.

The previous prime is 13500211. The next prime is 13500259. The reversal of 13500240 is 4200531.

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 (15).

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, 957 + ... + 5283.

Almost surely, 2^13500240 is an apocalyptic number.

13500240 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 13500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540224).

13500240 is an abundant number, since it is smaller than the sum of its proper divisors (31580208).

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

13500240 is a wasteful number, since it uses less digits than its factorization.

13500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13500240 is about 3674.2672738929. The cubic root of 13500240 is about 238.1115688100. Note that the first 3 decimals are identical.

Adding to 13500240 its reverse (4200531), we get a palindrome (17700771).

It can be divided in two parts, 13500 and 240, that multiplied together give a square (3240000 = 1800²).

The spelling of 13500240 in words is "thirteen million, five hundred thousand, two hundred forty".