135135152241201 has 32 divisors (see below), whose sum is σ = 230122802661120. Its totient is φ = 76773728092032.

The previous prime is 135135152241143. The next prime is 135135152241217. The reversal of 135135152241201 is 102142251531531.

135135152241201 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 5 + 1 + 522 + 4 + 120 + 1 = 666.

It is not a de Polignac number, because 135135152241201 - 2⁹ = 135135152240689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135135152241241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066443620 + ... + 2066509013.

It is an arithmetic number, because the mean of its divisors is an integer number (7191337583160).

Almost surely, 2^{135135152241201} is an apocalyptic number.

It is an amenable number.

135135152241201 is a deficient number, since it is larger than the sum of its proper divisors (94987650419919).

135135152241201 is a wasteful number, since it uses less digits than its factorization.

135135152241201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132952822 (or 4132952816 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 135135152241201 in words is "one hundred thirty-five trillion, one hundred thirty-five billion, one hundred fifty-two million, two hundred forty-one thousand, two hundred one".