133538638144716 has 54 divisors (see below), whose sum is σ = 392667185978340. Its totient is φ = 38153896612272.

The previous prime is 133538638144699. The next prime is 133538638144727. The reversal of 133538638144716 is 617441836835331.

133538638144716 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 86 + 3 + 81 + 4 + 471 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37851086146 + ... + 37851089673.

Almost surely, 2^{133538638144716} is an apocalyptic number.

It is an amenable number.

133538638144716 is an abundant number, since it is smaller than the sum of its proper divisors (259128547833624).

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

133538638144716 is a wasteful number, since it uses less digits than its factorization.

133538638144716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75702175843 (or 75702175831 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 133538638144716 in words is "one hundred thirty-three trillion, five hundred thirty-eight billion, six hundred thirty-eight million, one hundred forty-four thousand, seven hundred sixteen".