13403142144 has 384 divisors, whose sum is σ = 46880870400. Its totient is φ = 3702620160.

The previous prime is 13403142143. The next prime is 13403142149. The reversal of 13403142144 is 44124130431.

13403142144 is a `hidden beast` number, since 1 + 340 + 314 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403142143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11998674 + ... + 11999790.

It is an arithmetic number, because the mean of its divisors is an integer number (122085600).

Almost surely, 2^13403142144 is an apocalyptic number.

13403142144 is a gapful number since it is divisible by the number (14) 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 13403142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23440435200).

13403142144 is an abundant number, since it is smaller than the sum of its proper divisors (33477728256).

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

13403142144 is a wasteful number, since it uses less digits than its factorization.

13403142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13403142144 its reverse (44124130431), we get a palindrome (57527272575).

The spelling of 13403142144 in words is "thirteen billion, four hundred three million, one hundred forty-two thousand, one hundred forty-four".