13542205320 has 192 divisors, whose sum is σ = 52162830720. Its totient is φ = 3095345664.

The previous prime is 13542205309. The next prime is 13542205361. The reversal of 13542205320 is 2350224531.

It is a happy number.

13542205320 is a `hidden beast` number, since 135 + 4 + 2 + 205 + 320 = 666.

13542205320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31477 + ... + 167556.

It is an arithmetic number, because the mean of its divisors is an integer number (271681410).

Almost surely, 2^13542205320 is an apocalyptic number.

13542205320 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 13542205320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26081415360).

13542205320 is an abundant number, since it is smaller than the sum of its proper divisors (38620625400).

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

13542205320 is a wasteful number, since it uses less digits than its factorization.

13542205320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199066 (or 199050 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13542205320 its reverse (2350224531), we get a palindrome (15892429851).

The spelling of 13542205320 in words is "thirteen billion, five hundred forty-two million, two hundred five thousand, three hundred twenty".