133314276480 has 960 divisors, whose sum is σ = 547176470400. Its totient is φ = 27585761280.

The previous prime is 133314276467. The next prime is 133314276499. The reversal of 133314276480 is 84672413331.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 557800201 + ... + 557800439.

It is an arithmetic number, because the mean of its divisors is an integer number (569975490).

Almost surely, 2^133314276480 is an apocalyptic number.

133314276480 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 133314276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273588235200).

133314276480 is an abundant number, since it is smaller than the sum of its proper divisors (413862193920).

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

133314276480 is an equidigital number, since it uses as much as digits as its factorization.

133314276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 133314276480 in words is "one hundred thirty-three billion, three hundred fourteen million, two hundred seventy-six thousand, four hundred eighty".