13753500 has 96 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 3577600.

The previous prime is 13753499. The next prime is 13753513. The reversal of 13753500 is 535731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79414 + ... + 79586.

It is an arithmetic number, because the mean of its divisors is an integer number (427518).

Almost surely, 2^13753500 is an apocalyptic number.

13753500 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 13753500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

13753500 is an abundant number, since it is smaller than the sum of its proper divisors (27288228).

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

13753500 is a wasteful number, since it uses less digits than its factorization.

13753500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

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

The square root of 13753500 is about 3708.5711534228. The cubic root of 13753500 is about 239.5913183644.

The spelling of 13753500 in words is "thirteen million, seven hundred fifty-three thousand, five hundred".