133875190315152 has 480 divisors, whose sum is σ = 463087765236096. Its totient is φ = 35546829004800.

The previous prime is 133875190315129. The next prime is 133875190315283. The reversal of 133875190315152 is 251513091578331.

133875190315152 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 7 + 5 + 1 + 90 + 31 + 515 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29095243 + ... + 33380885.

Almost surely, 2^{133875190315152} is an apocalyptic number.

133875190315152 is a gapful number since it is divisible by the number (12) 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 133875190315152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231543882618048).

133875190315152 is an abundant number, since it is smaller than the sum of its proper divisors (329212574920944).

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

133875190315152 is a wasteful number, since it uses less digits than its factorization.

133875190315152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285759 (or 4285750 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 133875190315152 in words is "one hundred thirty-three trillion, eight hundred seventy-five billion, one hundred ninety million, three hundred fifteen thousand, one hundred fifty-two".