133034135328 has 72 divisors (see below), whose sum is σ = 387543071916. Its totient is φ = 43263129600.

The previous prime is 133034135309. The next prime is 133034135383. The reversal of 133034135328 is 823531430331.

133034135328 is a `hidden beast` number, since 13 + 303 + 4 + 13 + 5 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105606800784 + 27427334544 = 324972^2 + 165612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133034135292 and 133034135301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5621413 + ... + 5645028.

Almost surely, 2^133034135328 is an apocalyptic number.

133034135328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133034135328 is an abundant number, since it is smaller than the sum of its proper divisors (254508936588).

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

133034135328 is a wasteful number, since it uses less digits than its factorization.

133034135328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266498 (or 11266487 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 133034135328 its reverse (823531430331), we get a palindrome (956565565659).

The spelling of 133034135328 in words is "one hundred thirty-three billion, thirty-four million, one hundred thirty-five thousand, three hundred twenty-eight".