133605347904 has 672 divisors, whose sum is σ = 491445377280. Its totient is φ = 33782759424.

The previous prime is 133605347903. The next prime is 133605347929. The reversal of 133605347904 is 409743506331.

133605347904 is a `hidden beast` number, since 1 + 3 + 3 + 605 + 34 + 7 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 133605347904.

It is not an unprimeable number, because it can be changed into a prime (133605347903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225303832 + ... + 225304424.

Almost surely, 2^133605347904 is an apocalyptic number.

133605347904 is a gapful number since it is divisible by the number (14) 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 133605347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245722688640).

133605347904 is an abundant number, since it is smaller than the sum of its proper divisors (357840029376).

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

133605347904 is a wasteful number, since it uses less digits than its factorization.

133605347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 133605347904 in words is "one hundred thirty-three billion, six hundred five million, three hundred forty-seven thousand, nine hundred four".