13502140344 has 384 divisors, whose sum is σ = 48139660800. Its totient is φ = 3406510080.

The previous prime is 13502140321. The next prime is 13502140349. The reversal of 13502140344 is 44304120531.

It is a happy number.

13502140344 is a `hidden beast` number, since 13 + 502 + 140 + 3 + 4 + 4 = 666.

13502140344 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13502140349) 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 95 ways as a sum of consecutive naturals, for example, 22768912 + ... + 22769504.

It is an arithmetic number, because the mean of its divisors is an integer number (125363700).

Almost surely, 2^13502140344 is an apocalyptic number.

13502140344 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 13502140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24069830400).

13502140344 is an abundant number, since it is smaller than the sum of its proper divisors (34637520456).

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

13502140344 is a wasteful number, since it uses less digits than its factorization.

13502140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13502140344 its reverse (44304120531), we get a palindrome (57806260875).

The spelling of 13502140344 in words is "thirteen billion, five hundred two million, one hundred forty thousand, three hundred forty-four".