133244120144240 has 80 divisors (see below), whose sum is σ = 366257236697280. Its totient is φ = 44108398387200.

The previous prime is 133244120144237. The next prime is 133244120144243. The reversal of 133244120144240 is 42441021442331.

It is an interprime number because it is at equal distance from previous prime (133244120144237) and next prime (133244120144243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133244120144240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133244120144243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4102327361 + ... + 4102359840.

It is an arithmetic number, because the mean of its divisors is an integer number (4578215458716).

Almost surely, 2^{133244120144240} is an apocalyptic number.

133244120144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133244120144240 is an abundant number, since it is smaller than the sum of its proper divisors (233013116553040).

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

133244120144240 is a wasteful number, since it uses less digits than its factorization.

133244120144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204687250 (or 8204687244 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 133244120144240 its reverse (42441021442331), we get a palindrome (175685141586571).

The spelling of 133244120144240 in words is "one hundred thirty-three trillion, two hundred forty-four billion, one hundred twenty million, one hundred forty-four thousand, two hundred forty".