133845301 has 16 divisors (see below), whose sum is σ = 144419760. Its totient is φ = 123596800.

The previous prime is 133845293. The next prime is 133845319. The reversal of 133845301 is 103548331.

It can be written as a sum of positive squares in 8 ways, for example, as 11764900 + 122080401 = 3430^2 + 11049^2 .

It is not a de Polignac number, because 133845301 - 2³ = 133845293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133845301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133845001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234945 + ... + 235513.

It is an arithmetic number, because the mean of its divisors is an integer number (9026235).

Almost surely, 2^133845301 is an apocalyptic number.

It is an amenable number.

133845301 is a deficient number, since it is larger than the sum of its proper divisors (10574459).

133845301 is a wasteful number, since it uses less digits than its factorization.

133845301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 133845301 is about 11569.1529940614. The cubic root of 133845301 is about 511.5259958880.

The spelling of 133845301 in words is "one hundred thirty-three million, eight hundred forty-five thousand, three hundred one".