13734240 has 192 divisors, whose sum is σ = 48771072. Its totient is φ = 3225600.

The previous prime is 13734223. The next prime is 13734307. The reversal of 13734240 is 4243731.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13734240.

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, 193405 + ... + 193475.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 2^13734240 is an apocalyptic number.

13734240 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 13734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536).

13734240 is an abundant number, since it is smaller than the sum of its proper divisors (35036832).

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

13734240 is a wasteful number, since it uses less digits than its factorization.

13734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 13734240 is about 3705.9735563007. The cubic root of 13734240 is about 239.4794272219.

Adding to 13734240 its reverse (4243731), we get a palindrome (17977971).

The spelling of 13734240 in words is "thirteen million, seven hundred thirty-four thousand, two hundred forty".