13461000140 has 96 divisors (see below), whose sum is σ = 32580938880. Its totient is φ = 4576167936.

The previous prime is 13461000131. The next prime is 13461000143. The reversal of 13461000140 is 4100016431.

13461000140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13461000143) 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 31 ways as a sum of consecutive naturals, for example, 9392864 + ... + 9394296.

It is an arithmetic number, because the mean of its divisors is an integer number (339384780).

Almost surely, 2^13461000140 is an apocalyptic number.

13461000140 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 13461000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290469440).

13461000140 is an abundant number, since it is smaller than the sum of its proper divisors (19119938740).

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

13461000140 is a wasteful number, since it uses less digits than its factorization.

13461000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13461000140 its reverse (4100016431), we get a palindrome (17561016571).

The spelling of 13461000140 in words is "thirteen billion, four hundred sixty-one million, one hundred forty", and thus it is an aban number.