133895899960800 has 144 divisors (see below), whose sum is σ = 435851985406320. Its totient is φ = 35703866736640.

The previous prime is 133895899960793. The next prime is 133895899960829. The reversal of 133895899960800 is 8069998598331.

It is a super-2 number, since 2×133895899960800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49290874 + ... + 51936326.

It is an arithmetic number, because the mean of its divisors is an integer number (3026749898655).

Almost surely, 2^{133895899960800} is an apocalyptic number.

133895899960800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133895899960800 is an abundant number, since it is smaller than the sum of its proper divisors (301956085445520).

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

133895899960800 is a wasteful number, since it uses less digits than its factorization.

133895899960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666565 (or 2666552 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 78.

The spelling of 133895899960800 in words is "one hundred thirty-three trillion, eight hundred ninety-five billion, eight hundred ninety-nine million, nine hundred sixty thousand, eight hundred".