133336276164 has 144 divisors (see below), whose sum is σ = 415025170560. Its totient is φ = 35148556800.

The previous prime is 133336276153. The next prime is 133336276181. The reversal of 133336276164 is 461672633331.

133336276164 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 6 + 27 + 616 + 4 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 7653864 + ... + 7671264.

It is an arithmetic number, because the mean of its divisors is an integer number (2882119240).

Almost surely, 2^133336276164 is an apocalyptic number.

133336276164 is a gapful number since it is divisible by the number (14) 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 133336276164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207512585280).

133336276164 is an abundant number, since it is smaller than the sum of its proper divisors (281688894396).

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

133336276164 is a wasteful number, since it uses less digits than its factorization.

133336276164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 19765 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 133336276164 in words is "one hundred thirty-three billion, three hundred thirty-six million, two hundred seventy-six thousand, one hundred sixty-four".