13140534400 has 96 divisors (see below), whose sum is σ = 37098607680. Its totient is φ = 4505318400.

The previous prime is 13140534359. The next prime is 13140534427. The reversal of 13140534400 is 443504131.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 270916 + ... + 315715.

It is an arithmetic number, because the mean of its divisors is an integer number (386443830).

Almost surely, 2^13140534400 is an apocalyptic number.

13140534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140534400 is an abundant number, since it is smaller than the sum of its proper divisors (23958073280).

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

13140534400 is an equidigital number, since it uses as much as digits as its factorization.

13140534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586662 (or 586645 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 13140534400 in words is "thirteen billion, one hundred forty million, five hundred thirty-four thousand, four hundred".