13755300 has 72 divisors (see below), whose sum is σ = 42872256. Its totient is φ = 3384960.

The previous prime is 13755299. The next prime is 13755323. The reversal of 13755300 is 355731.

13755300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2137 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (595448).

Almost surely, 2^13755300 is an apocalyptic number.

13755300 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 13755300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21436128).

13755300 is an abundant number, since it is smaller than the sum of its proper divisors (29116956).

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

13755300 is a wasteful number, since it uses less digits than its factorization.

13755300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 13755300 is about 3708.8138265489. The cubic root of 13755300 is about 239.6017701418.

The spelling of 13755300 in words is "thirteen million, seven hundred fifty-five thousand, three hundred".