133275240000 has 1680 divisors, whose sum is σ = 604136114560. Its totient is φ = 28200960000.

The previous prime is 133275239953. The next prime is 133275240001. The reversal of 133275240000 is 42572331.

133275240000 is a `hidden beast` number, since 133 + 2 + 7 + 524 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133275240001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2184839970 + ... + 2184840030.

Almost surely, 2^133275240000 is an apocalyptic number.

133275240000 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 133275240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302068057280).

133275240000 is an abundant number, since it is smaller than the sum of its proper divisors (470860874560).

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

133275240000 is an equidigital number, since it uses as much as digits as its factorization.

133275240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 133275240000 in words is "one hundred thirty-three billion, two hundred seventy-five million, two hundred forty thousand".