13542350136 has 128 divisors (see below), whose sum is σ = 40449024000. Its totient is φ = 3694204800.

The previous prime is 13542350071. The next prime is 13542350137. The reversal of 13542350136 is 63105324531.

It is a junction number, because it is equal to n+sod(n) for n = 13542350097 and 13542350106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542350137) 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, 2311611 + ... + 2317461.

It is an arithmetic number, because the mean of its divisors is an integer number (316008000).

Almost surely, 2^13542350136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542350136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224512000).

13542350136 is an abundant number, since it is smaller than the sum of its proper divisors (26906673864).

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

13542350136 is a wasteful number, since it uses less digits than its factorization.

13542350136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 13542350136 its reverse (63105324531), we get a palindrome (76647674667).

The spelling of 13542350136 in words is "thirteen billion, five hundred forty-two million, three hundred fifty thousand, one hundred thirty-six".