133577892967680 has 1296 divisors, whose sum is σ = 563251807931904. Its totient is φ = 29105925488640.

The previous prime is 133577892967679. The next prime is 133577892967691. The reversal of 133577892967680 is 86769298775331.

133577892967680 is a `hidden beast` number, since 1 + 33 + 577 + 8 + 9 + 2 + 9 + 6 + 7 + 6 + 8 + 0 = 666.

133577892967680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133577892967680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1172367994 + ... + 1172481926.

Almost surely, 2^{133577892967680} is an apocalyptic number.

133577892967680 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 133577892967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281625903965952).

133577892967680 is an abundant number, since it is smaller than the sum of its proper divisors (429673914964224).

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

133577892967680 is a wasteful number, since it uses less digits than its factorization.

133577892967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114072 (or 114048 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 133577892967680 in words is "one hundred thirty-three trillion, five hundred seventy-seven billion, eight hundred ninety-two million, nine hundred sixty-seven thousand, six hundred eighty".