135505424432399 has 48 divisors (see below), whose sum is σ = 166356427147200. Its totient is φ = 109832070813696.

The previous prime is 135505424432377. The next prime is 135505424432407. The reversal of 135505424432399 is 993234424505531.

It is not a de Polignac number, because 135505424432399 - 2¹² = 135505424428303 is a prime.

It is a Duffinian number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 658787579 + ... + 658993235.

It is an arithmetic number, because the mean of its divisors is an integer number (3465758898900).

Almost surely, 2^{135505424432399} is an apocalyptic number.

135505424432399 is a deficient number, since it is larger than the sum of its proper divisors (30851002714801).

135505424432399 is a wasteful number, since it uses less digits than its factorization.

135505424432399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212352 (or 212345 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 59.

The spelling of 135505424432399 in words is "one hundred thirty-five trillion, five hundred five billion, four hundred twenty-four million, four hundred thirty-two thousand, three hundred ninety-nine".