133504195968 has 384 divisors, whose sum is σ = 453805148160. Its totient is φ = 37139558400.

The previous prime is 133504195931. The next prime is 133504195969. The reversal of 133504195968 is 869591405331.

133504195968 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 0 + 41 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133504195969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31462455 + ... + 31466697.

It is an arithmetic number, because the mean of its divisors is an integer number (1181784240).

Almost surely, 2^133504195968 is an apocalyptic number.

133504195968 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 133504195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226902574080).

133504195968 is an abundant number, since it is smaller than the sum of its proper divisors (320300952192).

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

133504195968 is a wasteful number, since it uses less digits than its factorization.

133504195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 133504195968 in words is "one hundred thirty-three billion, five hundred four million, one hundred ninety-five thousand, nine hundred sixty-eight".