13542253340 has 48 divisors (see below), whose sum is σ = 35456085504. Its totient is φ = 4220961600.

The previous prime is 13542253331. The next prime is 13542253343. The reversal of 13542253340 is 4335224531.

13542253340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13542253297 and 13542253306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542253343) 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 15 ways as a sum of consecutive naturals, for example, 4395296 + ... + 4398375.

It is an arithmetic number, because the mean of its divisors is an integer number (738668448).

Almost surely, 2^13542253340 is an apocalyptic number.

13542253340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13542253340 is an abundant number, since it is smaller than the sum of its proper divisors (21913832164).

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

13542253340 is a wasteful number, since it uses less digits than its factorization.

13542253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793698 (or 8793696 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 13542253340 its reverse (4335224531), we get a palindrome (17877477871).

The spelling of 13542253340 in words is "thirteen billion, five hundred forty-two million, two hundred fifty-three thousand, three hundred forty".