133656799479840 has 2304 divisors, whose sum is σ = 600137892716544. Its totient is φ = 26333990092800.

The previous prime is 133656799479821. The next prime is 133656799479881. The reversal of 133656799479840 is 48974997656331.

133656799479840 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 5 + 67 + 9 + 9 + 479 + 84 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133656799479840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13133216832 + ... + 13133227008.

It is an arithmetic number, because the mean of its divisors is an integer number (260476515936).

Almost surely, 2^{133656799479840} is an apocalyptic number.

133656799479840 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 133656799479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300068946358272).

133656799479840 is an abundant number, since it is smaller than the sum of its proper divisors (466481093236704).

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

133656799479840 is a wasteful number, since it uses less digits than its factorization.

133656799479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 133656799479840 in words is "one hundred thirty-three trillion, six hundred fifty-six billion, seven hundred ninety-nine million, four hundred seventy-nine thousand, eight hundred forty".