13749120 has 384 divisors, whose sum is σ = 61102080. Its totient is φ = 2764800.

The previous prime is 13749119. The next prime is 13749133. The reversal of 13749120 is 2194731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443505 + ... + 443535.

It is an arithmetic number, because the mean of its divisors is an integer number (159120).

Almost surely, 2^13749120 is an apocalyptic number.

13749120 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 13749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040).

13749120 is an abundant number, since it is smaller than the sum of its proper divisors (47352960).

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

13749120 is a wasteful number, since it uses less digits than its factorization.

13749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13749120 is about 3707.9805824734. The cubic root of 13749120 is about 239.5658818963.

The spelling of 13749120 in words is "thirteen million, seven hundred forty-nine thousand, one hundred twenty".