133239214080 has 624 divisors, whose sum is σ = 542276177664. Its totient is φ = 29620961280.

The previous prime is 133239214027. The next prime is 133239214081. The reversal of 133239214080 is 80412932331.

133239214080 is a `hidden beast` number, since 1 + 332 + 39 + 214 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133239214081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47737485 + ... + 47740275.

It is an arithmetic number, because the mean of its divisors is an integer number (869032336).

Almost surely, 2^133239214080 is an apocalyptic number.

133239214080 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 133239214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271138088832).

133239214080 is an abundant number, since it is smaller than the sum of its proper divisors (409036963584).

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

133239214080 is a wasteful number, since it uses less digits than its factorization.

133239214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 133239214080 in words is "one hundred thirty-three billion, two hundred thirty-nine million, two hundred fourteen thousand, eighty".