135461720503281 has 64 divisors (see below), whose sum is σ = 192775674470400. Its totient is φ = 84316102886400.

The previous prime is 135461720503183. The next prime is 135461720503391. The reversal of 135461720503281 is 182305027164531.

It is not a de Polignac number, because 135461720503281 - 2²² = 135461716308977 is a prime.

It is a super-2 number, since 2×135461720503281² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135461720503281.

It is not an unprimeable number, because it can be changed into a prime (135461720503981) 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 63 ways as a sum of consecutive naturals, for example, 5324949760 + ... + 5324975198.

It is an arithmetic number, because the mean of its divisors is an integer number (3012119913600).

Almost surely, 2^{135461720503281} is an apocalyptic number.

It is an amenable number.

135461720503281 is a deficient number, since it is larger than the sum of its proper divisors (57313953967119).

135461720503281 is a wasteful number, since it uses less digits than its factorization.

135461720503281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27270.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 135461720503281 in words is "one hundred thirty-five trillion, four hundred sixty-one billion, seven hundred twenty million, five hundred three thousand, two hundred eighty-one".