133181706541 has 16 divisors (see below), whose sum is σ = 145193958000. Its totient is φ = 121424928768.

The previous prime is 133181706523. The next prime is 133181706569. The reversal of 133181706541 is 145607181331.

It can be written as a sum of positive squares in 8 ways, for example, as 50800652100 + 82381054441 = 225390^2 + 287021^2 .

It is not a de Polignac number, because 133181706541 - 2²¹ = 133179609389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133181706494 and 133181706503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133181706521) by changing a digit.

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, 1022685 + ... + 1145533.

It is an arithmetic number, because the mean of its divisors is an integer number (9074622375).

Almost surely, 2^133181706541 is an apocalyptic number.

It is an amenable number.

133181706541 is a deficient number, since it is larger than the sum of its proper divisors (12012251459).

133181706541 is a wasteful number, since it uses less digits than its factorization.

133181706541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123888.

The product of its (nonzero) digits is 60480, while the sum is 40.

Adding to 133181706541 its reverse (145607181331), we get a palindrome (278788887872).

The spelling of 133181706541 in words is "one hundred thirty-three billion, one hundred eighty-one million, seven hundred six thousand, five hundred forty-one".