13140600 has 144 divisors (see below), whose sum is σ = 45023160. Its totient is φ = 3168000.

The previous prime is 13140599. The next prime is 13140607. The reversal of 13140600 is 604131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13140600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72510 + ... + 72690.

Almost surely, 2^13140600 is an apocalyptic number.

13140600 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 13140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511580).

13140600 is an abundant number, since it is smaller than the sum of its proper divisors (31882560).

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

13140600 is a wasteful number, since it uses less digits than its factorization.

13140600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13140600 is about 3624.9965517225. The cubic root of 13140600 is about 235.9781172854.

Adding to 13140600 its reverse (604131), we get a palindrome (13744731).

The spelling of 13140600 in words is "thirteen million, one hundred forty thousand, six hundred".