133507125 has 24 divisors (see below), whose sum is σ = 240670872. Its totient is φ = 71203200.

The previous prime is 133507123. The next prime is 133507133. The reversal of 133507125 is 521705331.

133507125 is a `hidden beast` number, since 1 + 33 + 507 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 132503121 = 1002^2 + 11511^2 .

It is not a de Polignac number, because 133507125 - 2¹ = 133507123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133507123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58212 + ... + 60461.

It is an arithmetic number, because the mean of its divisors is an integer number (10027953).

Almost surely, 2^133507125 is an apocalyptic number.

133507125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133507125 is a deficient number, since it is larger than the sum of its proper divisors (107163747).

133507125 is a wasteful number, since it uses less digits than its factorization.

133507125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118694 (or 118681 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 133507125 is about 11554.5283330822. The cubic root of 133507125 is about 511.0948222160.

The spelling of 133507125 in words is "one hundred thirty-three million, five hundred seven thousand, one hundred twenty-five".