133766541 has 24 divisors (see below), whose sum is σ = 198124056. Its totient is φ = 86935680.

The previous prime is 133766539. The next prime is 133766543. The reversal of 133766541 is 145667331.

It is an interprime number because it is at equal distance from previous prime (133766539) and next prime (133766543).

It can be written as a sum of positive squares in 4 ways, for example, as 80622441 + 53144100 = 8979^2 + 7290^2 .

It is not a de Polignac number, because 133766541 - 2¹ = 133766539 is a prime.

It is a super-2 number, since 2×133766541² = 35786974982209362, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133766496 and 133766505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133766543) 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 23 ways as a sum of consecutive naturals, for example, 81711 + ... + 83331.

It is an arithmetic number, because the mean of its divisors is an integer number (8255169).

Almost surely, 2^133766541 is an apocalyptic number.

It is an amenable number.

133766541 is a deficient number, since it is larger than the sum of its proper divisors (64357515).

133766541 is a wasteful number, since it uses less digits than its factorization.

133766541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1850 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 133766541 is about 11565.7486139030. The cubic root of 133766541 is about 511.4256419917.

The spelling of 133766541 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, five hundred forty-one".