13140400 has 180 divisors, whose sum is σ = 41007792. Its totient is φ = 3939840.

The previous prime is 13140389. The next prime is 13140409. The reversal of 13140400 is 404131.

It is a super-2 number, since 2×13140400² = 345340224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (13140409) 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, 691591 + ... + 691609.

Almost surely, 2^13140400 is an apocalyptic number.

13140400 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 13140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503896).

13140400 is an abundant number, since it is smaller than the sum of its proper divisors (27867392).

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

13140400 is a wasteful number, since it uses less digits than its factorization.

13140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13140400 is about 3624.9689653844. The cubic root of 13140400 is about 235.9769200833.

Adding to 13140400 its reverse (404131), we get a palindrome (13544531).

The spelling of 13140400 in words is "thirteen million, one hundred forty thousand, four hundred".