13375200 has 72 divisors (see below), whose sum is σ = 43544088. Its totient is φ = 3566080.

The previous prime is 13375171. The next prime is 13375211. The reversal of 13375200 is 257331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387 + ... + 5186.

It is an arithmetic number, because the mean of its divisors is an integer number (604779).

Almost surely, 2^13375200 is an apocalyptic number.

13375200 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 13375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772044).

13375200 is an abundant number, since it is smaller than the sum of its proper divisors (30168888).

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

13375200 is a wasteful number, since it uses less digits than its factorization.

13375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13375200 is about 3657.2120529168. The cubic root of 13375200 is about 237.3741530877.

The spelling of 13375200 in words is "thirteen million, three hundred seventy-five thousand, two hundred".