13540202120 has 64 divisors (see below), whose sum is σ = 31848318720. Its totient is φ = 5171102464.

The previous prime is 13540202113. The next prime is 13540202131. The reversal of 13540202120 is 2120204531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13540202092 and 13540202101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499229 + ... + 525651.

It is an arithmetic number, because the mean of its divisors is an integer number (497629980).

Almost surely, 2^13540202120 is an apocalyptic number.

13540202120 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 13540202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924159360).

13540202120 is an abundant number, since it is smaller than the sum of its proper divisors (18308116600).

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

13540202120 is a wasteful number, since it uses less digits than its factorization.

13540202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27014 (or 27010 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13540202120 its reverse (2120204531), we get a palindrome (15660406651).

The spelling of 13540202120 in words is "thirteen billion, five hundred forty million, two hundred two thousand, one hundred twenty".