133464362054166 has 288 divisors, whose sum is σ = 360518602429440. Its totient is φ = 35348022864000.

The previous prime is 133464362054137. The next prime is 133464362054173. The reversal of 133464362054166 is 661450263464331.

133464362054166 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 4 + 3 + 620 + 5 + 4 + 1 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 974187931 + ... + 974324921.

It is an arithmetic number, because the mean of its divisors is an integer number (1251800702880).

Almost surely, 2^{133464362054166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133464362054166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180259301214720).

133464362054166 is an abundant number, since it is smaller than the sum of its proper divisors (227054240375274).

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

133464362054166 is a wasteful number, since it uses less digits than its factorization.

133464362054166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138864 (or 138850 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 133464362054166 in words is "one hundred thirty-three trillion, four hundred sixty-four billion, three hundred sixty-two million, fifty-four thousand, one hundred sixty-six".