133752983308800 has 480 divisors, whose sum is σ = 456597705400320. Its totient is φ = 34479057715200.

The previous prime is 133752983308729. The next prime is 133752983308849. The reversal of 133752983308800 is 8803389257331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093916469 + ... + 1094038731.

It is an arithmetic number, because the mean of its divisors is an integer number (951245219584).

Almost surely, 2^{133752983308800} is an apocalyptic number.

133752983308800 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 133752983308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228298852700160).

133752983308800 is an abundant number, since it is smaller than the sum of its proper divisors (322844722091520).

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

133752983308800 is a wasteful number, since it uses less digits than its factorization.

133752983308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123244 (or 123223 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 133752983308800 in words is "one hundred thirty-three trillion, seven hundred fifty-two billion, nine hundred eighty-three million, three hundred eight thousand, eight hundred".