133057390781952 has 480 divisors, whose sum is σ = 487877147197440. Its totient is φ = 33960053882880.

The previous prime is 133057390781951. The next prime is 133057390781963. The reversal of 133057390781952 is 259187093750331.

133057390781952 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 57 + 390 + 7 + 8 + 195 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 133057390781952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133057390781951) 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, 7881249 + ... + 18117087.

It is an arithmetic number, because the mean of its divisors is an integer number (1016410723328).

Almost surely, 2^{133057390781952} is an apocalyptic number.

133057390781952 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 133057390781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243938573598720).

133057390781952 is an abundant number, since it is smaller than the sum of its proper divisors (354819756415488).

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

133057390781952 is a wasteful number, since it uses less digits than its factorization.

133057390781952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235914 (or 10235895 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 133057390781952 in words is "one hundred thirty-three trillion, fifty-seven billion, three hundred ninety million, seven hundred eighty-one thousand, nine hundred fifty-two".