133560416456400 has 60 divisors (see below), whose sum is σ = 427838534052512. Its totient is φ = 35616111054720.

The previous prime is 133560416456393. The next prime is 133560416456419. The reversal of 133560416456400 is 4654614065331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133560416456400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55650172324 + ... + 55650174723.

Almost surely, 2^{133560416456400} is an apocalyptic number.

133560416456400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133560416456400 is an abundant number, since it is smaller than the sum of its proper divisors (294278117596112).

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

133560416456400 is a wasteful number, since it uses less digits than its factorization.

133560416456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111300347068 (or 111300347057 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 133560416456400 in words is "one hundred thirty-three trillion, five hundred sixty billion, four hundred sixteen million, four hundred fifty-six thousand, four hundred".