133888041 has 81 divisors (see below), whose sum is σ = 245901591. Its totient is φ = 69981408.

The previous prime is 133888031. The next prime is 133888061. The reversal of 133888041 is 140888331.

The square root of 133888041 is 11571.

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

It can be written as a sum of positive squares in only one way, i.e., 70207641 + 63680400 = 8379^2 + 7980^2 .

It is not a de Polignac number, because 133888041 - 2²³ = 125499433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133887987 and 133888005.

It is not an unprimeable number, because it can be changed into a prime (133888021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4616815 + ... + 4616843.

Almost surely, 2^133888041 is an apocalyptic number.

133888041 is the 11571-st square number.

133888041 is the 5786-th centered octagonal number.

It is an amenable number.

133888041 is a deficient number, since it is larger than the sum of its proper divisors (112013550).

133888041 is a wasteful number, since it uses less digits than its factorization.

133888041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 133888041 is about 511.5804375811.

Multiplying 133888041 by its sum of digits (36), we get a square (4819969476 = 69426²).

The spelling of 133888041 in words is "one hundred thirty-three million, eight hundred eighty-eight thousand, forty-one".