133344147456 has 576 divisors, whose sum is σ = 450830016000. Its totient is φ = 38817792000.

The previous prime is 133344147427. The next prime is 133344147463. The reversal of 133344147456 is 654741443331.

It is a happy number.

133344147456 is a `hidden beast` number, since 13 + 3 + 3 + 44 + 147 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177555081 + ... + 177555831.

It is an arithmetic number, because the mean of its divisors is an integer number (782691000).

Almost surely, 2^133344147456 is an apocalyptic number.

133344147456 is a gapful number since it is divisible by the number (16) 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 133344147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225415008000).

133344147456 is an abundant number, since it is smaller than the sum of its proper divisors (317485868544).

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

133344147456 is a wasteful number, since it uses less digits than its factorization.

133344147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 788 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 133344147456 in words is "one hundred thirty-three billion, three hundred forty-four million, one hundred forty-seven thousand, four hundred fifty-six".