133709536880640 has 1152 divisors, whose sum is σ = 540726889248000. Its totient is φ = 29925083971584.

The previous prime is 133709536880639. The next prime is 133709536880651. The reversal of 133709536880640 is 46088635907331.

133709536880640 is a `hidden beast` number, since 1 + 3 + 3 + 70 + 95 + 368 + 80 + 6 + 40 = 666.

133709536880640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9781947726 + ... + 9781961394.

It is an arithmetic number, because the mean of its divisors is an integer number (469380980250).

Almost surely, 2^{133709536880640} is an apocalyptic number.

133709536880640 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 133709536880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270363444624000).

133709536880640 is an abundant number, since it is smaller than the sum of its proper divisors (407017352367360).

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

133709536880640 is a wasteful number, since it uses less digits than its factorization.

133709536880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 14002 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 133709536880640 in words is "one hundred thirty-three trillion, seven hundred nine billion, five hundred thirty-six million, eight hundred eighty thousand, six hundred forty".