133137984000 has 1280 divisors, whose sum is σ = 544182312960. Its totient is φ = 28223078400.

The previous prime is 133137983999. The next prime is 133137984011. The reversal of 133137984000 is 489731331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 133137984000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1823807964 + ... + 1823808036.

It is an arithmetic number, because the mean of its divisors is an integer number (425142432).

Almost surely, 2^133137984000 is an apocalyptic number.

133137984000 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 133137984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272091156480).

133137984000 is an abundant number, since it is smaller than the sum of its proper divisors (411044328960).

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

133137984000 is an equidigital number, since it uses as much as digits as its factorization.

133137984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 133137984000 in words is "one hundred thirty-three billion, one hundred thirty-seven million, nine hundred eighty-four thousand".