133082915328 has 320 divisors, whose sum is σ = 455034983040. Its totient is φ = 37955174400.

The previous prime is 133082915321. The next prime is 133082915393. The reversal of 133082915328 is 823519280331.

133082915328 is a `hidden beast` number, since 1 + 3 + 30 + 8 + 291 + 5 + 328 = 666.

133082915328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133082915328² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133082915321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2559348 + ... + 2610828.

It is an arithmetic number, because the mean of its divisors is an integer number (1421984322).

Almost surely, 2^133082915328 is an apocalyptic number.

133082915328 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 133082915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227517491520).

133082915328 is an abundant number, since it is smaller than the sum of its proper divisors (321952067712).

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

133082915328 is a wasteful number, since it uses less digits than its factorization.

133082915328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51536 (or 51514 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 133082915328 in words is "one hundred thirty-three billion, eighty-two million, nine hundred fifteen thousand, three hundred twenty-eight".