133869415680 has 2592 divisors, whose sum is σ = 672216330240. Its totient is φ = 23808245760.

The previous prime is 133869415637. The next prime is 133869415681. The reversal of 133869415680 is 86514968331.

133869415680 is a `hidden beast` number, since 1 + 3 + 38 + 6 + 9 + 41 + 568 + 0 = 666.

133869415680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133869415681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2848285417 + ... + 2848285463.

It is an arithmetic number, because the mean of its divisors is an integer number (259342720).

Almost surely, 2^133869415680 is an apocalyptic number.

133869415680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133869415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336108165120).

133869415680 is an abundant number, since it is smaller than the sum of its proper divisors (538346914560).

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

133869415680 is a wasteful number, since it uses less digits than its factorization.

133869415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 133869415680 in words is "one hundred thirty-three billion, eight hundred sixty-nine million, four hundred fifteen thousand, six hundred eighty".