13748500 has 48 divisors (see below), whose sum is σ = 31030272. Its totient is φ = 5316000.

The previous prime is 13748477. The next prime is 13748509. The reversal of 13748500 is 584731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15057 + ... + 15943.

It is an arithmetic number, because the mean of its divisors is an integer number (646464).

Almost surely, 2^13748500 is an apocalyptic number.

13748500 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 13748500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515136).

13748500 is an abundant number, since it is smaller than the sum of its proper divisors (17281772).

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

13748500 is a wasteful number, since it uses less digits than its factorization.

13748500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13748500 is about 3707.8969780726. The cubic root of 13748500 is about 239.5622808639.

The spelling of 13748500 in words is "thirteen million, seven hundred forty-eight thousand, five hundred".