133523127 has 32 divisors (see below), whose sum is σ = 213100800. Its totient is φ = 82355616.

The previous prime is 133523113. The next prime is 133523153. The reversal of 133523127 is 721325331.

133523127 is a `hidden beast` number, since 13 + 3 + 523 + 127 = 666.

It is not a de Polignac number, because 133523127 - 2⁷ = 133522999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133523127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133523197) 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 31 ways as a sum of consecutive naturals, for example, 19033 + ... + 25085.

It is an arithmetic number, because the mean of its divisors is an integer number (6659400).

Almost surely, 2^133523127 is an apocalyptic number.

133523127 is a deficient number, since it is larger than the sum of its proper divisors (79577673).

133523127 is a wasteful number, since it uses less digits than its factorization.

133523127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6118 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 133523127 is about 11555.2207681204. The cubic root of 133523127 is about 511.1152411327.

Adding to 133523127 its reverse (721325331), we get a palindrome (854848458).

The spelling of 133523127 in words is "one hundred thirty-three million, five hundred twenty-three thousand, one hundred twenty-seven".