133825756000 has 96 divisors (see below), whose sum is σ = 331883933472. Its totient is φ = 53029849600.

The previous prime is 133825755953. The next prime is 133825756061. The reversal of 133825756000 is 657528331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 271662 + ... + 584338.

It is an arithmetic number, because the mean of its divisors is an integer number (3457124307).

Almost surely, 2^133825756000 is an apocalyptic number.

133825756000 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 133825756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165941966736).

133825756000 is an abundant number, since it is smaller than the sum of its proper divisors (198058177472).

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

133825756000 is a wasteful number, since it uses less digits than its factorization.

133825756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312809 (or 312791 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 133825756000 in words is "one hundred thirty-three billion, eight hundred twenty-five million, seven hundred fifty-six thousand".