133161729625 has 16 divisors (see below), whose sum is σ = 166282670736. Its totient is φ = 106467312000.

The previous prime is 133161729599. The next prime is 133161729641. The reversal of 133161729625 is 526927161331.

It can be written as a sum of positive squares in 8 ways, for example, as 44078582601 + 89083147024 = 209949^2 + 298468^2 .

It is not a de Polignac number, because 133161729625 - 2¹¹ = 133161727577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94374 + ... + 524623.

It is an arithmetic number, because the mean of its divisors is an integer number (10392666921).

Almost surely, 2^133161729625 is an apocalyptic number.

It is an amenable number.

133161729625 is a deficient number, since it is larger than the sum of its proper divisors (33120941111).

133161729625 is an equidigital number, since it uses as much as digits as its factorization.

133161729625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620733 (or 620723 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The spelling of 133161729625 in words is "one hundred thirty-three billion, one hundred sixty-one million, seven hundred twenty-nine thousand, six hundred twenty-five".