13749600 has 144 divisors (see below), whose sum is σ = 47528208. Its totient is φ = 3440640.

The previous prime is 13749599. The next prime is 13749601. The reversal of 13749600 is 694731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13749599) and next prime (13749601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13749601) by changing a digit.

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, 40632 + ... + 40968.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^13749600 is an apocalyptic number.

13749600 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 13749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764104).

13749600 is an abundant number, since it is smaller than the sum of its proper divisors (33778608).

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

13749600 is a wasteful number, since it uses less digits than its factorization.

13749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13749600 is about 3708.0453071666. The cubic root of 13749600 is about 239.5686697180.

The spelling of 13749600 in words is "thirteen million, seven hundred forty-nine thousand, six hundred".