135505424432400 has 120 divisors (see below), whose sum is σ = 473529865062624. Its totient is φ = 32849799859200.

The previous prime is 135505424432377. The next prime is 135505424432407. The reversal of 135505424432400 is 4234424505531.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (135505424432407) by changing a digit.

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, 5132768029 + ... + 5132794428.

Almost surely, 2^{135505424432400} is an apocalyptic number.

135505424432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505424432400 is an abundant number, since it is smaller than the sum of its proper divisors (338024440630224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135505424432400 is a wasteful number, since it uses less digits than its factorization.

135505424432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265562489 (or 10265562478 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 135505424432400 its reverse (4234424505531), we get a palindrome (139739848937931).

The spelling of 135505424432400 in words is "one hundred thirty-five trillion, five hundred five billion, four hundred twenty-four million, four hundred thirty-two thousand, four hundred".