133450813440 has 832 divisors, whose sum is σ = 566161920000. Its totient is φ = 29157359616.

The previous prime is 133450813403. The next prime is 133450813451. The reversal of 133450813440 is 44318054331.

133450813440 is a `hidden beast` number, since 1 + 33 + 450 + 8 + 134 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133450813395 and 133450813404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89025811 + ... + 89027309.

Almost surely, 2^133450813440 is an apocalyptic number.

133450813440 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 133450813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283080960000).

133450813440 is an abundant number, since it is smaller than the sum of its proper divisors (432711106560).

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

133450813440 is a wasteful number, since it uses less digits than its factorization.

133450813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 133450813440 its reverse (44318054331), we get a palindrome (177768867771).

The spelling of 133450813440 in words is "one hundred thirty-three billion, four hundred fifty million, eight hundred thirteen thousand, four hundred forty".