133806362296320 has 1536 divisors, whose sum is σ = 560327836075200. Its totient is φ = 30580298219520.

The previous prime is 133806362296309. The next prime is 133806362296349. The reversal of 133806362296320 is 23692263608331.

It is a happy number.

133806362296320 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 6 + 3 + 622 + 9 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

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 95 ways as a sum of consecutive naturals, for example, 17557582110 + ... + 17557589730.

Almost surely, 2^{133806362296320} is an apocalyptic number.

133806362296320 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 133806362296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280163918037600).

133806362296320 is an abundant number, since it is smaller than the sum of its proper divisors (426521473778880).

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

133806362296320 is an frugal number, since it uses more digits than its factorization.

133806362296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 133806362296320 in words is "one hundred thirty-three trillion, eight hundred six billion, three hundred sixty-two million, two hundred ninety-six thousand, three hundred twenty".