133792004378880 has 2592 divisors, whose sum is σ = 527220369801216. Its totient is φ = 32398260830208.

The previous prime is 133792004378801. The next prime is 133792004378891. The reversal of 133792004378880 is 88873400297331.

133792004378880 is a `hidden beast` number, since 1 + 3 + 37 + 92 + 0 + 0 + 437 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 852178371762 + ... + 852178371918.

It is an arithmetic number, because the mean of its divisors is an integer number (203402920448).

Almost surely, 2^{133792004378880} is an apocalyptic number.

133792004378880 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 133792004378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263610184900608).

133792004378880 is an abundant number, since it is smaller than the sum of its proper divisors (393428365422336).

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

133792004378880 is an equidigital number, since it uses as much as digits as its factorization.

133792004378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 133792004378880 in words is "one hundred thirty-three trillion, seven hundred ninety-two billion, four million, three hundred seventy-eight thousand, eight hundred eighty".