133880805075168 has 36 divisors (see below), whose sum is σ = 380723539433328. Its totient is φ = 44626935024960.

The previous prime is 133880805075163. The next prime is 133880805075203. The reversal of 133880805075168 is 861570508088331.

133880805075168 is a `hidden beast` number, since 1 + 3 + 38 + 8 + 0 + 80 + 5 + 0 + 7 + 516 + 8 = 666.

133880805075168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×133880805075168² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133880805075161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232431952968 + ... + 232431953543.

It is an arithmetic number, because the mean of its divisors is an integer number (10575653873148).

Almost surely, 2^{133880805075168} is an apocalyptic number.

133880805075168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133880805075168 is an abundant number, since it is smaller than the sum of its proper divisors (246842734358160).

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

133880805075168 is a wasteful number, since it uses less digits than its factorization.

133880805075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464863906527 (or 464863906516 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 133880805075168 in words is "one hundred thirty-three trillion, eight hundred eighty billion, eight hundred five million, seventy-five thousand, one hundred sixty-eight".