133337166814008 has 128 divisors (see below), whose sum is σ = 378710841600000. Its totient is φ = 43457067927936.

The previous prime is 133337166814001. The next prime is 133337166814013. The reversal of 133337166814008 is 800418661733331.

133337166814008 is a `hidden beast` number, since 1 + 3 + 3 + 33 + 71 + 66 + 81 + 400 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133337166814001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36174183 + ... + 39689366.

It is an arithmetic number, because the mean of its divisors is an integer number (2958678450000).

Almost surely, 2^{133337166814008} is an apocalyptic number.

133337166814008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133337166814008 is an abundant number, since it is smaller than the sum of its proper divisors (245373674785992).

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

133337166814008 is a wasteful number, since it uses less digits than its factorization.

133337166814008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75863746 (or 75863736 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 133337166814008 in words is "one hundred thirty-three trillion, three hundred thirty-seven billion, one hundred sixty-six million, eight hundred fourteen thousand, eight".