135564484465531 has 12 divisors (see below), whose sum is σ = 149319979502400. Its totient is φ = 122983153438640.

The previous prime is 135564484465513. The next prime is 135564484465591.

It is a happy number.

135564484465531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135564484465531 - 2⁹ = 135564484465019 is a prime.

It is a super-2 number, since 2×135564484465531² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135564484465591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169428096 + ... + 1169544013.

It is an arithmetic number, because the mean of its divisors is an integer number (12443331625200).

Almost surely, 2^{135564484465531} is an apocalyptic number.

135564484465531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135564484465531 is a deficient number, since it is larger than the sum of its proper divisors (13755495036869).

135564484465531 is a wasteful number, since it uses less digits than its factorization.

135564484465531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338972610 (or 2338972599 counting only the distinct ones).

The product of its digits is 414720000, while the sum is 64.

The spelling of 135564484465531 in words is "one hundred thirty-five trillion, five hundred sixty-four billion, four hundred eighty-four million, four hundred sixty-five thousand, five hundred thirty-one".