133186648585104 has 135 divisors (see below), whose sum is σ = 377315119318683. Its totient is φ = 43856878055616.

The previous prime is 133186648585063. The next prime is 133186648585139. The reversal of 133186648585104 is 401585846681331.

It is a happy number.

The square root of 133186648585104 is 11540652.

It is a perfect power (a square), and thus also a powerful number.

133186648585104 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 8 + 6 + 6 + 48 + 585 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×133186648585104² (a number of 29 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 11494483599 + ... + 11494495185.

Almost surely, 2^{133186648585104} is an apocalyptic number.

133186648585104 is the 11540652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133186648585104

133186648585104 is an abundant number, since it is smaller than the sum of its proper divisors (244128470733579).

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

133186648585104 is an frugal number, since it uses more digits than its factorization.

133186648585104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23354 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 133186648585104 in words is "one hundred thirty-three trillion, one hundred eighty-six billion, six hundred forty-eight million, five hundred eighty-five thousand, one hundred four".