133100617680 has 60 divisors (see below), whose sum is σ = 446996243460. Its totient is φ = 35493497856.

The previous prime is 133100617669. The next prime is 133100617681. The reversal of 133100617680 is 86716001331.

133100617680 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 0 + 617 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45737810496 + 87362807184 = 213864^2 + 295572^2 .

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133100617681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92430265 + ... + 92431704.

It is an arithmetic number, because the mean of its divisors is an integer number (7449937391).

Almost surely, 2^133100617680 is an apocalyptic number.

133100617680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133100617680 is an abundant number, since it is smaller than the sum of its proper divisors (313895625780).

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

133100617680 is a wasteful number, since it uses less digits than its factorization.

133100617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184861988 (or 184861979 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 133100617680 in words is "one hundred thirty-three billion, one hundred million, six hundred seventeen thousand, six hundred eighty".