133538638144640 has 64 divisors (see below), whose sum is σ = 323281829808000. Its totient is φ = 52739310234624.

The previous prime is 133538638144603. The next prime is 133538638144643. The reversal of 133538638144640 is 46441836835331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 133538638144640.

It is not an unprimeable number, because it can be changed into a prime (133538638144643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320545150 + ... + 1320646269.

It is an arithmetic number, because the mean of its divisors is an integer number (5051278590750).

Almost surely, 2^{133538638144640} is an apocalyptic number.

133538638144640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133538638144640 is an abundant number, since it is smaller than the sum of its proper divisors (189743191663360).

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

133538638144640 is an equidigital number, since it uses as much as digits as its factorization.

133538638144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641191517 (or 2641191505 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 59.

The spelling of 133538638144640 in words is "one hundred thirty-three trillion, five hundred thirty-eight billion, six hundred thirty-eight million, one hundred forty-four thousand, six hundred forty".