133045750656 has 384 divisors, whose sum is σ = 472397365440. Its totient is φ = 35000156160.

The previous prime is 133045750639. The next prime is 133045750729. The reversal of 133045750656 is 656057540331.

133045750656 is a `hidden beast` number, since 13 + 3 + 0 + 4 + 575 + 0 + 65 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48326176 + ... + 48328928.

Almost surely, 2^133045750656 is an apocalyptic number.

133045750656 is a gapful number since it is divisible by the number (16) 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 133045750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236198682720).

133045750656 is an abundant number, since it is smaller than the sum of its proper divisors (339351614784).

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

133045750656 is a wasteful number, since it uses less digits than its factorization.

133045750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 133045750656 in words is "one hundred thirty-three billion, forty-five million, seven hundred fifty thousand, six hundred fifty-six".