133719945068808 has 320 divisors, whose sum is σ = 437205342816000. Its totient is φ = 38168576248320.

The previous prime is 133719945068807. The next prime is 133719945068833. The reversal of 133719945068808 is 808860549917331.

133719945068808 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 1 + 99 + 450 + 6 + 8 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (133719945068803) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228862416 + ... + 229445952.

It is an arithmetic number, because the mean of its divisors is an integer number (1366266696300).

Almost surely, 2^{133719945068808} is an apocalyptic number.

133719945068808 is a gapful number since it is divisible by the number (18) 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 133719945068808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218602671408000).

133719945068808 is an abundant number, since it is smaller than the sum of its proper divisors (303485397747192).

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

133719945068808 is a wasteful number, since it uses less digits than its factorization.

133719945068808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584607 (or 584580 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 133719945068808 in words is "one hundred thirty-three trillion, seven hundred nineteen billion, nine hundred forty-five million, sixty-eight thousand, eight hundred eight".