133511127245334 has 128 divisors (see below), whose sum is σ = 303952296130560. Its totient is φ = 43417064275200.

The previous prime is 133511127245329. The next prime is 133511127245359. The reversal of 133511127245334 is 433542721115331.

133511127245334 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 1 + 1 + 1 + 272 + 45 + 334 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133511127245334.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9309743004 + ... + 9309757344.

It is an arithmetic number, because the mean of its divisors is an integer number (2374627313520).

Almost surely, 2^{133511127245334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133511127245334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151976148065280).

133511127245334 is an abundant number, since it is smaller than the sum of its proper divisors (170441168885226).

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

133511127245334 is a wasteful number, since it uses less digits than its factorization.

133511127245334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18877 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 133511127245334 in words is "one hundred thirty-three trillion, five hundred eleven billion, one hundred twenty-seven million, two hundred forty-five thousand, three hundred thirty-four".