133585133049 has 27 divisors (see below), whose sum is σ = 201748551823. Its totient is φ = 85168640832.

The previous prime is 133585132997. The next prime is 133585133081. The reversal of 133585133049 is 940331585331.

The square root of 133585133049 is 365493.

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

133585133049 is a `hidden beast` number, since 1 + 33 + 585 + 1 + 3 + 30 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109008927225 + 24576205824 = 330165^2 + 156768^2 .

It is not a de Polignac number, because 133585133049 - 2⁷ = 133585132921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133585132995 and 133585133013.

It is not an unprimeable number, because it can be changed into a prime (133585133089) by changing a digit.

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, 25216369 + ... + 25221665.

Almost surely, 2^133585133049 is an apocalyptic number.

133585133049 is the 365493-rd square number.

133585133049 is the 182747-th centered octagonal number.

It is an amenable number.

133585133049 is a deficient number, since it is larger than the sum of its proper divisors (68163418774).

133585133049 is an frugal number, since it uses more digits than its factorization.

133585133049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

It can be divided in two parts, 1335851 and 33049, that added together give a square (1368900 = 1170²).

The spelling of 133585133049 in words is "one hundred thirty-three billion, five hundred eighty-five million, one hundred thirty-three thousand, forty-nine".