133546825 has 12 divisors (see below), whose sum is σ = 165974620. Its totient is φ = 106594560.

The previous prime is 133546823. The next prime is 133546837. The reversal of 133546825 is 528645331.

133546825 = 8171² + 8172².

It can be written as a sum of positive squares in 6 ways, for example, as 21123216 + 112423609 = 4596^2 + 10603^2 .

It is not a de Polignac number, because 133546825 - 2¹ = 133546823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133546823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5581 + ... + 17269.

Almost surely, 2^133546825 is an apocalyptic number.

133546825 is the 8172-nd centered square number.

It is an amenable number.

133546825 is a deficient number, since it is larger than the sum of its proper divisors (32427795).

133546825 is a wasteful number, since it uses less digits than its factorization.

133546825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12151 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 133546825 is about 11556.2461465651. The cubic root of 133546825 is about 511.1454773241.

The spelling of 133546825 in words is "one hundred thirty-three million, five hundred forty-six thousand, eight hundred twenty-five".