13145600 has 120 divisors (see below), whose sum is σ = 35518560. Its totient is φ = 4792320.

The previous prime is 13145597. The next prime is 13145603. The reversal of 13145600 is 654131.

It is an interprime number because it is at equal distance from previous prime (13145597) and next prime (13145603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166361 + ... + 166439.

It is an arithmetic number, because the mean of its divisors is an integer number (295988).

Almost surely, 2^13145600 is an apocalyptic number.

13145600 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 13145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759280).

13145600 is an abundant number, since it is smaller than the sum of its proper divisors (22372960).

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

13145600 is an equidigital number, since it uses as much as digits as its factorization.

13145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13145600 is about 3625.6861419599. The cubic root of 13145600 is about 236.0080433915.

Adding to 13145600 its reverse (654131), we get a palindrome (13799731).

The spelling of 13145600 in words is "thirteen million, one hundred forty-five thousand, six hundred".