13741504 has 56 divisors (see below), whose sum is σ = 32044640. Its totient is φ = 5723136.

The previous prime is 13741493. The next prime is 13741523. The reversal of 13741504 is 40514731.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 16162 + ... + 16990.

Almost surely, 2^13741504 is an apocalyptic number.

13741504 is a gapful number since it is divisible by the number (14) 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 13741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022320).

13741504 is an abundant number, since it is smaller than the sum of its proper divisors (18303136).

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

13741504 is an equidigital number, since it uses as much as digits as its factorization.

13741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 13741504 is about 3706.9534661228. The cubic root of 13741504 is about 239.5216397739.

The spelling of 13741504 in words is "thirteen million, seven hundred forty-one thousand, five hundred four".