133628638464 has 144 divisors (see below), whose sum is σ = 399605270400. Its totient is φ = 44042194944.

The previous prime is 133628638463. The next prime is 133628638483. The reversal of 133628638464 is 464836826331.

133628638464 is a `hidden beast` number, since 1 + 3 + 3 + 628 + 6 + 3 + 8 + 4 + 6 + 4 = 666.

133628638464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×133628638464² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133628638464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133628638463) 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 15 ways as a sum of consecutive naturals, for example, 506557 + ... + 723779.

It is an arithmetic number, because the mean of its divisors is an integer number (2775036600).

Almost surely, 2^133628638464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133628638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199802635200).

133628638464 is an abundant number, since it is smaller than the sum of its proper divisors (265976631936).

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

133628638464 is an equidigital number, since it uses as much as digits as its factorization.

133628638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217337 (or 217317 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 133628638464 in words is "one hundred thirty-three billion, six hundred twenty-eight million, six hundred thirty-eight thousand, four hundred sixty-four".