13540141120 has 112 divisors (see below), whose sum is σ = 36124579008. Its totient is φ = 4790568960.

The previous prime is 13540141091. The next prime is 13540141127. The reversal of 13540141120 is 2114104531.

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 = 13540141091 and 13540141100.

It is not an unprimeable number, because it can be changed into a prime (13540141127) 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, 78259 + ... + 182221.

It is an arithmetic number, because the mean of its divisors is an integer number (322540884).

Almost surely, 2^13540141120 is an apocalyptic number.

13540141120 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 13540141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18062289504).

13540141120 is an abundant number, since it is smaller than the sum of its proper divisors (22584437888).

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

13540141120 is a wasteful number, since it uses less digits than its factorization.

13540141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104028 (or 104018 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 13540141120 its reverse (2114104531), we get a palindrome (15654245651).

The spelling of 13540141120 in words is "thirteen billion, five hundred forty million, one hundred forty-one thousand, one hundred twenty".