135426306233745 has 24 divisors (see below), whose sum is σ = 239167967239656. Its totient is φ = 70864582883328.

The previous prime is 135426306233711. The next prime is 135426306233761. The reversal of 135426306233745 is 547332603624531.

135426306233745 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 6 + 3 + 0 + 623 + 3 + 7 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5523482343681 + 129902823890064 = 2350209^2 + 11397492^2 .

It is not a de Polignac number, because 135426306233745 - 2²⁰ = 135426305185169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135426306233691 and 135426306233700.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28391256784 + ... + 28391261553.

It is an arithmetic number, because the mean of its divisors is an integer number (9965331968319).

Almost surely, 2^{135426306233745} is an apocalyptic number.

135426306233745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135426306233745 is a deficient number, since it is larger than the sum of its proper divisors (103741661005911).

135426306233745 is a wasteful number, since it uses less digits than its factorization.

135426306233745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56782518401 (or 56782518398 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 54.

The spelling of 135426306233745 in words is "one hundred thirty-five trillion, four hundred twenty-six billion, three hundred six million, two hundred thirty-three thousand, seven hundred forty-five".