135620306705536 has 16 divisors (see below), whose sum is σ = 270181079765190. Its totient is φ = 67810153352704.

The previous prime is 135620306705497. The next prime is 135620306705551. The reversal of 135620306705536 is 635507603026531.

It can be written as a sum of positive squares in only one way, i.e., 125878167567936 + 9742139137600 = 11219544^2 + 3121240^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×135620306705536³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 529766822941 + ... + 529766823196.

Almost surely, 2^{135620306705536} is an apocalyptic number.

135620306705536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135620306705536 is a deficient number, since it is larger than the sum of its proper divisors (134560773059654).

135620306705536 is an equidigital number, since it uses as much as digits as its factorization.

135620306705536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059533646151 (or 1059533646139 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 52.

The spelling of 135620306705536 in words is "one hundred thirty-five trillion, six hundred twenty billion, three hundred six million, seven hundred five thousand, five hundred thirty-six".