133315807328172 has 288 divisors, whose sum is σ = 408918757470720. Its totient is φ = 36793269187200.

The previous prime is 133315807328129. The next prime is 133315807328227. The reversal of 133315807328172 is 271823708513331.

133315807328172 is a `hidden beast` number, since 1 + 3 + 3 + 31 + 580 + 7 + 3 + 28 + 1 + 7 + 2 = 666.

It is a super-3 number, since 3×133315807328172³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392875563 + ... + 393214749.

Almost surely, 2^{133315807328172} is an apocalyptic number.

133315807328172 is a gapful number since it is divisible by the number (12) 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 133315807328172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204459378735360).

133315807328172 is an abundant number, since it is smaller than the sum of its proper divisors (275602950142548).

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

133315807328172 is a wasteful number, since it uses less digits than its factorization.

133315807328172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339810 (or 339771 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 133315807328172 in words is "one hundred thirty-three trillion, three hundred fifteen billion, eight hundred seven million, three hundred twenty-eight thousand, one hundred seventy-two".