133216451280 has 640 divisors, whose sum is σ = 547164979200. Its totient is φ = 29411942400.

The previous prime is 133216451261. The next prime is 133216451317. The reversal of 133216451280 is 82154612331.

133216451280 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 64 + 512 + 80 = 666.

It is a super-2 number, since 2×133216451280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12516201 + ... + 12526839.

It is an arithmetic number, because the mean of its divisors is an integer number (854945280).

Almost surely, 2^133216451280 is an apocalyptic number.

133216451280 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 133216451280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273582489600).

133216451280 is an abundant number, since it is smaller than the sum of its proper divisors (413948527920).

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

133216451280 is a wasteful number, since it uses less digits than its factorization.

133216451280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 133216451280 in words is "one hundred thirty-three billion, two hundred sixteen million, four hundred fifty-one thousand, two hundred eighty".