133612519680 has 756 divisors, whose sum is σ = 499152005100. Its totient is φ = 34249236480.

The previous prime is 133612519633. The next prime is 133612519681. The reversal of 133612519680 is 86915216331.

133612519680 is a `hidden beast` number, since 1 + 3 + 361 + 25 + 196 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30309417216 + 103303102464 = 174096^2 + 321408^2 .

It is a super-3 number, since 3×133612519680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133612519681) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 896728246 + ... + 896728394.

It is an arithmetic number, because the mean of its divisors is an integer number (660253975).

Almost surely, 2^133612519680 is an apocalyptic number.

133612519680 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 133612519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249576002550).

133612519680 is an abundant number, since it is smaller than the sum of its proper divisors (365539485420).

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

133612519680 is an frugal number, since it uses more digits than its factorization.

133612519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 133612519680 in words is "one hundred thirty-three billion, six hundred twelve million, five hundred nineteen thousand, six hundred eighty".