13542345040 has 160 divisors (see below), whose sum is σ = 37229045760. Its totient is φ = 4483123200.

The previous prime is 13542344987. The next prime is 13542345049. The reversal of 13542345040 is 4054324531.

13542345040 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 (31).

It is a junction number, because it is equal to n+sod(n) for n = 13542344993 and 13542345011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542345049) 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, 14390970 + ... + 14391910.

It is an arithmetic number, because the mean of its divisors is an integer number (232681536).

Almost surely, 2^13542345040 is an apocalyptic number.

13542345040 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 13542345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614522880).

13542345040 is an abundant number, since it is smaller than the sum of its proper divisors (23686700720).

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

13542345040 is a wasteful number, since it uses less digits than its factorization.

13542345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 13542345040 its reverse (4054324531), we get a palindrome (17596669571).

The spelling of 13542345040 in words is "thirteen billion, five hundred forty-two million, three hundred forty-five thousand, forty".