133768764576 has 48 divisors (see below), whose sum is σ = 390158899200. Its totient is φ = 44589587904.

The previous prime is 133768764559. The next prime is 133768764581. The reversal of 133768764576 is 675467867331.

It is a happy number.

133768764576 is a `hidden beast` number, since 1 + 33 + 76 + 87 + 6 + 457 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 77411616 + ... + 77413343.

It is an arithmetic number, because the mean of its divisors is an integer number (8128310400).

Almost surely, 2^133768764576 is an apocalyptic number.

133768764576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133768764576 is an abundant number, since it is smaller than the sum of its proper divisors (256390134624).

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

133768764576 is a wasteful number, since it uses less digits than its factorization.

133768764576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154824978 (or 154824964 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 133768764576 in words is "one hundred thirty-three billion, seven hundred sixty-eight million, seven hundred sixty-four thousand, five hundred seventy-six".