540132113320241 has 32 divisors (see below), whose sum is σ = 623370327632640. Its totient is φ = 464180983200000.

The previous prime is 540132113320231. The next prime is 540132113320253. The reversal of 540132113320241 is 142023311231045.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 540132113320241 - 2²⁶ = 540132046211377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540132113320198 and 540132113320207.

It is not an unprimeable number, because it can be changed into a prime (540132113320211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 149792510 + ... + 153355991.

It is an arithmetic number, because the mean of its divisors is an integer number (19480322738520).

Almost surely, 2^{540132113320241} is an apocalyptic number.

It is an amenable number.

540132113320241 is a deficient number, since it is larger than the sum of its proper divisors (83238214312399).

540132113320241 is a wasteful number, since it uses less digits than its factorization.

540132113320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303148697.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 540132113320241 its reverse (142023311231045), we get a palindrome (682155424551286).

The spelling of 540132113320241 in words is "five hundred forty trillion, one hundred thirty-two billion, one hundred thirteen million, three hundred twenty thousand, two hundred forty-one".