133229049827328 has 1040 divisors, whose sum is σ = 500265893783040. Its totient is φ = 34389362737152.

The previous prime is 133229049827317. The next prime is 133229049827371. The reversal of 133229049827328 is 823728940922331.

133229049827328 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 90 + 498 + 27 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1418959008 + ... + 1419052896.

Almost surely, 2^{133229049827328} is an apocalyptic number.

133229049827328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133229049827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250132946891520).

133229049827328 is an abundant number, since it is smaller than the sum of its proper divisors (367036843955712).

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

133229049827328 is an equidigital number, since it uses as much as digits as its factorization.

133229049827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93992 (or 93961 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 133229049827328 in words is "one hundred thirty-three trillion, two hundred twenty-nine billion, forty-nine million, eight hundred twenty-seven thousand, three hundred twenty-eight".