133057064448 has 1920 divisors, whose sum is σ = 566243758080. Its totient is φ = 30098718720.

The previous prime is 133057064419. The next prime is 133057064477. The reversal of 133057064448 is 844460750331.

133057064448 is a `hidden beast` number, since 1 + 3 + 30 + 570 + 6 + 4 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (133057064419) and next prime (133057064477).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3094350315 + ... + 3094350357.

It is an arithmetic number, because the mean of its divisors is an integer number (294918624).

Almost surely, 2^133057064448 is an apocalyptic number.

133057064448 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 133057064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283121879040).

133057064448 is an abundant number, since it is smaller than the sum of its proper divisors (433186693632).

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

133057064448 is a wasteful number, since it uses less digits than its factorization.

133057064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 133057064448 in words is "one hundred thirty-three billion, fifty-seven million, sixty-four thousand, four hundred forty-eight".