135130155212401 has 32 divisors (see below), whose sum is σ = 144745638176160. Its totient is φ = 125703446593536.

The previous prime is 135130155212291. The next prime is 135130155212497. The reversal of 135130155212401 is 104212551031531.

It can be written as a sum of positive squares in 16 ways, for example, as 1551459571776 + 133578695640625 = 1245576^2 + 11557625^2 .

It is a cyclic number.

It is not a de Polignac number, because 135130155212401 - 2¹⁷ = 135130155081329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135130155216401) 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, 3931728145 + ... + 3931762513.

It is an arithmetic number, because the mean of its divisors is an integer number (4523301193005).

Almost surely, 2^{135130155212401} is an apocalyptic number.

It is an amenable number.

135130155212401 is a deficient number, since it is larger than the sum of its proper divisors (9615482963759).

135130155212401 is a wasteful number, since it uses less digits than its factorization.

135130155212401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37573.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 135130155212401 in words is "one hundred thirty-five trillion, one hundred thirty billion, one hundred fifty-five million, two hundred twelve thousand, four hundred one".