133102144224 has 72 divisors (see below), whose sum is σ = 432581975280. Its totient is φ = 38029183488.

The previous prime is 133102144199. The next prime is 133102144243. The reversal of 133102144224 is 422441201331.

133102144224 is a `hidden beast` number, since 13 + 3 + 10 + 214 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 33009429 + ... + 33013460.

It is an arithmetic number, because the mean of its divisors is an integer number (6008082990).

Almost surely, 2^133102144224 is an apocalyptic number.

133102144224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133102144224 is an abundant number, since it is smaller than the sum of its proper divisors (299479831056).

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

133102144224 is a wasteful number, since it uses less digits than its factorization.

133102144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66022912 (or 66022901 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 133102144224 its reverse (422441201331), we get a palindrome (555543345555).

The spelling of 133102144224 in words is "one hundred thirty-three billion, one hundred two million, one hundred forty-four thousand, two hundred twenty-four".