133239790080 has 400 divisors, whose sum is σ = 493701068520. Its totient is φ = 34303868928.

The previous prime is 133239790069. The next prime is 133239790111. The reversal of 133239790080 is 80097932331.

It can be written as a sum of positive squares in 4 ways, for example, as 124772845824 + 8466944256 = 353232^2 + 92016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6002362 + ... + 6024518.

Almost surely, 2^133239790080 is an apocalyptic number.

133239790080 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 133239790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246850534260).

133239790080 is an abundant number, since it is smaller than the sum of its proper divisors (360461278440).

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

133239790080 is an equidigital number, since it uses as much as digits as its factorization.

133239790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22221 (or 22196 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 133239790080 in words is "one hundred thirty-three billion, two hundred thirty-nine million, seven hundred ninety thousand, eighty".