133745538311064 has 192 divisors, whose sum is σ = 369370181700000. Its totient is φ = 43706960510976.

The previous prime is 133745538311057. The next prime is 133745538311089. The reversal of 133745538311064 is 460113835547331.

133745538311064 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 4 + 5 + 538 + 31 + 10 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133745538311064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106512572 + ... + 4106545140.

Almost surely, 2^{133745538311064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133745538311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184685090850000).

133745538311064 is an abundant number, since it is smaller than the sum of its proper divisors (235624643388936).

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

133745538311064 is a wasteful number, since it uses less digits than its factorization.

133745538311064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35242 (or 35235 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 133745538311064 in words is "one hundred thirty-three trillion, seven hundred forty-five billion, five hundred thirty-eight million, three hundred eleven thousand, sixty-four".