13540042120 has 64 divisors (see below), whose sum is σ = 33260207040. Its totient is φ = 4919865600.

The previous prime is 13540042099. The next prime is 13540042121. The reversal of 13540042120 is 2124004531.

It is a super-2 number, since 2×13540042120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13540042091 and 13540042100.

It is not an unprimeable number, because it can be changed into a prime (13540042121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596499 + ... + 618781.

It is an arithmetic number, because the mean of its divisors is an integer number (519690735).

Almost surely, 2^13540042120 is an apocalyptic number.

13540042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13540042120 is an abundant number, since it is smaller than the sum of its proper divisors (19720164920).

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

13540042120 is a wasteful number, since it uses less digits than its factorization.

13540042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23686 (or 23682 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 13540042120 its reverse (2124004531), we get a palindrome (15664046651).

The spelling of 13540042120 in words is "thirteen billion, five hundred forty million, forty-two thousand, one hundred twenty".