135146140553241 has 32 divisors (see below), whose sum is σ = 201527981137920. Its totient is φ = 89507718900432.

The previous prime is 135146140553209. The next prime is 135146140553251. The reversal of 135146140553241 is 142355041641531.

135146140553241 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 4 + 614 + 0 + 5 + 5 + 3 + 24 + 1 = 666.

It is not a de Polignac number, because 135146140553241 - 2⁵ = 135146140553209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135146140553251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4326840 + ... + 17000406.

It is an arithmetic number, because the mean of its divisors is an integer number (6297749410560).

Almost surely, 2^{135146140553241} is an apocalyptic number.

It is an amenable number.

135146140553241 is a deficient number, since it is larger than the sum of its proper divisors (66381840584679).

135146140553241 is a wasteful number, since it uses less digits than its factorization.

135146140553241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12676162 (or 12676156 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 135146140553241 in words is "one hundred thirty-five trillion, one hundred forty-six billion, one hundred forty million, five hundred fifty-three thousand, two hundred forty-one".