133505332306420 has 48 divisors (see below), whose sum is σ = 295506901791360. Its totient is φ = 50524662674304.

The previous prime is 133505332306349. The next prime is 133505332306447. The reversal of 133505332306420 is 24603233505331.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 231766384 + ... + 232341703.

It is an arithmetic number, because the mean of its divisors is an integer number (6156393787320).

Almost surely, 2^{133505332306420} is an apocalyptic number.

133505332306420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133505332306420 is an abundant number, since it is smaller than the sum of its proper divisors (162001569484940).

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

133505332306420 is a wasteful number, since it uses less digits than its factorization.

133505332306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464108872 (or 464108870 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 40.

The spelling of 133505332306420 in words is "one hundred thirty-three trillion, five hundred five billion, three hundred thirty-two million, three hundred six thousand, four hundred twenty".