13257300 has 144 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2951040.

The previous prime is 13257271. The next prime is 13257317. The reversal of 13257300 is 375231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123847 + ... + 123953.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^13257300 is an apocalyptic number.

13257300 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 13257300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13257300 is an abundant number, since it is smaller than the sum of its proper divisors (31739820).

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

13257300 is a wasteful number, since it uses less digits than its factorization.

13257300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

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

The square root of 13257300 is about 3641.0575386830. The cubic root of 13257300 is about 236.6746233742.

The spelling of 13257300 in words is "thirteen million, two hundred fifty-seven thousand, three hundred".