13140877200 has 240 divisors, whose sum is σ = 47043364032. Its totient is φ = 3107840000.

The previous prime is 13140877199. The next prime is 13140877207. The reversal of 13140877200 is 277804131.

It is a happy number.

13140877200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13140877207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529060 + ... + 553340.

Almost surely, 2^13140877200 is an apocalyptic number.

13140877200 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 13140877200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23521682016).

13140877200 is an abundant number, since it is smaller than the sum of its proper divisors (33902486832).

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

13140877200 is a wasteful number, since it uses less digits than its factorization.

13140877200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 24343 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 13140877200 in words is "thirteen billion, one hundred forty million, eight hundred seventy-seven thousand, two hundred".