133982175744 has 120 divisors (see below), whose sum is σ = 387256879152. Its totient is φ = 44594288640.

The previous prime is 133982175731. The next prime is 133982175749. The reversal of 133982175744 is 447571289331.

133982175744 is a `hidden beast` number, since 1 + 339 + 8 + 217 + 57 + 44 = 666.

It is a super-2 number, since 2×133982175744² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133982175749) 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 11 ways as a sum of consecutive naturals, for example, 3125979 + ... + 3168549.

Almost surely, 2^133982175744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133982175744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193628439576).

133982175744 is an abundant number, since it is smaller than the sum of its proper divisors (253274703408).

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

133982175744 is an equidigital number, since it uses as much as digits as its factorization.

133982175744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43278 (or 43259 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 133982175744 in words is "one hundred thirty-three billion, nine hundred eighty-two million, one hundred seventy-five thousand, seven hundred forty-four".