133580978915328 has 576 divisors, whose sum is σ = 443286328867200. Its totient is φ = 37961650667520.

The previous prime is 133580978915261. The next prime is 133580978915347. The reversal of 133580978915328 is 823519879085331.

133580978915328 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 8 + 0 + 9 + 7 + 89 + 1 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45235683900 + ... + 45235686852.

It is an arithmetic number, because the mean of its divisors is an integer number (769594320950).

Almost surely, 2^{133580978915328} is an apocalyptic number.

133580978915328 is a gapful number since it is divisible by the number (18) 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 133580978915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221643164433600).

133580978915328 is an abundant number, since it is smaller than the sum of its proper divisors (309705349951872).

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

133580978915328 is a wasteful number, since it uses less digits than its factorization.

133580978915328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 133580978915328 in words is "one hundred thirty-three trillion, five hundred eighty billion, nine hundred seventy-eight million, nine hundred fifteen thousand, three hundred twenty-eight".