133134134688 has 72 divisors (see below), whose sum is σ = 380225280708. Its totient is φ = 44187558912.

The previous prime is 133134134687. The next prime is 133134134689. The reversal of 133134134688 is 886431431331.

133134134688 is a `hidden beast` number, since 133 + 13 + 41 + 3 + 468 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (133134134687) and next prime (133134134689).

It can be written as a sum of positive squares in 2 ways, for example, as 132737806224 + 396328464 = 364332^2 + 19908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133134134687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924895 + ... + 1059102.

Almost surely, 2^133134134688 is an apocalyptic number.

133134134688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133134134688 is an abundant number, since it is smaller than the sum of its proper divisors (247091146020).

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

133134134688 is a wasteful number, since it uses less digits than its factorization.

133134134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984246 (or 1984235 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 133134134688 in words is "one hundred thirty-three billion, one hundred thirty-four million, one hundred thirty-four thousand, six hundred eighty-eight".