135112040400641 has 16 divisors (see below), whose sum is σ = 136429560962640. Its totient is φ = 133796709580800.

The previous prime is 135112040400569. The next prime is 135112040400683. The reversal of 135112040400641 is 146004040211531.

It can be written as a sum of positive squares in 8 ways, for example, as 1450348124416 + 133661692276225 = 1204304^2 + 11561215^2 .

It is a cyclic number.

It is not a de Polignac number, because 135112040400641 - 2¹⁸ = 135112040138497 is a prime.

It is a super-3 number, since 3×135112040400641³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135112040400598 and 135112040400607.

It is not an unprimeable number, because it can be changed into a prime (135112040400241) 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, 591265955 + ... + 591494423.

It is an arithmetic number, because the mean of its divisors is an integer number (8526847560165).

Almost surely, 2^{135112040400641} is an apocalyptic number.

It is an amenable number.

135112040400641 is a deficient number, since it is larger than the sum of its proper divisors (1317520561999).

135112040400641 is a wasteful number, since it uses less digits than its factorization.

135112040400641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233236.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 135112040400641 in words is "one hundred thirty-five trillion, one hundred twelve billion, forty million, four hundred thousand, six hundred forty-one".