133137625 has 16 divisors (see below), whose sum is σ = 175932432. Its totient is φ = 100243200.

The previous prime is 133137583. The next prime is 133137629. The reversal of 133137625 is 526731331.

It can be written as a sum of positive squares in 8 ways, for example, as 39841344 + 93296281 = 6312^2 + 9659^2 .

It is not a de Polignac number, because 133137625 - 2¹³ = 133129433 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133137629) 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 15 ways as a sum of consecutive naturals, for example, 29202 + ... + 33451.

It is an arithmetic number, because the mean of its divisors is an integer number (10995777).

Almost surely, 2^133137625 is an apocalyptic number.

It is an amenable number.

133137625 is a deficient number, since it is larger than the sum of its proper divisors (42794807).

133137625 is an equidigital number, since it uses as much as digits as its factorization.

133137625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62685 (or 62675 counting only the distinct ones).

The product of its digits is 11340, while the sum is 31.

The square root of 133137625 is about 11538.5278523735. The cubic root of 133137625 is about 510.6228772970.

Adding to 133137625 its reverse (526731331), we get a palindrome (659868956).

The spelling of 133137625 in words is "one hundred thirty-three million, one hundred thirty-seven thousand, six hundred twenty-five".