13542254040 has 128 divisors (see below), whose sum is σ = 46517045760. Its totient is φ = 3089608704.

The previous prime is 13542254029. The next prime is 13542254041. The reversal of 13542254040 is 4045224531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13542253989 and 13542254007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542254041) 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, 444744 + ... + 474216.

It is an arithmetic number, because the mean of its divisors is an integer number (363414420).

Almost surely, 2^13542254040 is an apocalyptic number.

13542254040 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 13542254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23258522880).

13542254040 is an abundant number, since it is smaller than the sum of its proper divisors (32974791720).

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

13542254040 is a wasteful number, since it uses less digits than its factorization.

13542254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30041 (or 30037 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 13542254040 its reverse (4045224531), we get a palindrome (17587478571).

The spelling of 13542254040 in words is "thirteen billion, five hundred forty-two million, two hundred fifty-four thousand, forty".