540242133636500 has 24 divisors (see below), whose sum is σ = 1179888819863208. Its totient is φ = 216096853454400.

The previous prime is 540242133636451. The next prime is 540242133636533. The reversal of 540242133636500 is 5636331242045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64516654515076 + 475725479121424 = 8032226^2 + 21811132^2 .

It is a super-2 number, since 2×540242133636500² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540242133137 + ... + 540242134136.

It is an arithmetic number, because the mean of its divisors is an integer number (49162034160967).

Almost surely, 2^{540242133636500} is an apocalyptic number.

540242133636500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540242133636500 is an abundant number, since it is smaller than the sum of its proper divisors (639646686226708).

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

540242133636500 is a wasteful number, since it uses less digits than its factorization.

540242133636500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080484267292 (or 1080484267280 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 540242133636500 its reverse (5636331242045), we get a palindrome (545878464878545).

The spelling of 540242133636500 in words is "five hundred forty trillion, two hundred forty-two billion, one hundred thirty-three million, six hundred thirty-six thousand, five hundred".