6540142200 has 192 divisors, whose sum is σ = 20971038720. Its totient is φ = 1684800000.

The previous prime is 6540142181. The next prime is 6540142229. The reversal of 6540142200 is 22410456.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3351225 + ... + 3353175.

It is an arithmetic number, because the mean of its divisors is an integer number (109224160).

Almost surely, 2^6540142200 is an apocalyptic number.

6540142200 is a gapful number since it is divisible by the number (60) 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 6540142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485519360).

6540142200 is an abundant number, since it is smaller than the sum of its proper divisors (14430896520).

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

6540142200 is a wasteful number, since it uses less digits than its factorization.

6540142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 6540142200 is about 80871.1456577684. The cubic root of 6540142200 is about 1870.0895226285.

Adding to 6540142200 its reverse (22410456), we get a palindrome (6562552656).

The spelling of 6540142200 in words is "six billion, five hundred forty million, one hundred forty-two thousand, two hundred".