135505424432355 has 32 divisors (see below), whose sum is σ = 225118613275200. Its totient is φ = 69518109921792.

The previous prime is 135505424432347. The next prime is 135505424432359. The reversal of 135505424432355 is 553234424505531.

It is not a de Polignac number, because 135505424432355 - 2³ = 135505424432347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135505424432298 and 135505424432307.

It is not an unprimeable number, because it can be changed into a prime (135505424432359) 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, 578891764 + ... + 579125793.

It is an arithmetic number, because the mean of its divisors is an integer number (7034956664850).

Almost surely, 2^{135505424432355} is an apocalyptic number.

135505424432355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135505424432355 is a deficient number, since it is larger than the sum of its proper divisors (89613188842845).

135505424432355 is a wasteful number, since it uses less digits than its factorization.

135505424432355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158017863.

The product of its (nonzero) digits is 21600000, while the sum is 51.

Adding to 135505424432355 its reverse (553234424505531), we get a palindrome (688739848937886).

The spelling of 135505424432355 in words is "one hundred thirty-five trillion, five hundred five billion, four hundred twenty-four million, four hundred thirty-two thousand, three hundred fifty-five".