133052129280 has 1120 divisors, whose sum is σ = 578907590976. Its totient is φ = 28538044416.

The previous prime is 133052129269. The next prime is 133052129281. The reversal of 133052129280 is 82921250331.

133052129280 is a `hidden beast` number, since 1 + 3 + 30 + 521 + 29 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133052129281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 394813272 + ... + 394813608.

Almost surely, 2^133052129280 is an apocalyptic number.

133052129280 is a gapful number since it is divisible by the number (10) 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 133052129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289453795488).

133052129280 is an abundant number, since it is smaller than the sum of its proper divisors (445855461696).

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

133052129280 is an equidigital number, since it uses as much as digits as its factorization.

133052129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 133052129280 in words is "one hundred thirty-three billion, fifty-two million, one hundred twenty-nine thousand, two hundred eighty".