13755744 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 4354560.

The previous prime is 13755739. The next prime is 13755761. The reversal of 13755744 is 44755731.

It is a happy number.

13755744 is a `hidden beast` number, since 13 + 75 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13755699 and 13755708.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 225474 + ... + 225534.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^13755744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13755744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

13755744 is an abundant number, since it is smaller than the sum of its proper divisors (28897776).

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

13755744 is an equidigital number, since it uses as much as digits as its factorization.

13755744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 13755744 is about 3708.8736834786. The cubic root of 13755744 is about 239.6043481067.

The spelling of 13755744 in words is "thirteen million, seven hundred fifty-five thousand, seven hundred forty-four".