75149 has 2 divisors, whose sum is σ = 75150. Its totient is φ = 75148.

The previous prime is 75133. The next prime is 75161. The reversal of 75149 is 94157.

75149 is nontrivially palindromic in base 5.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42025 + 33124 = 205^2 + 182^2 .

It is a cyclic number.

It is not a de Polignac number, because 75149 - 2⁴ = 75133 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75149.

It is not a weakly prime, because it can be changed into another prime (75109) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37574 + 37575.

It is an arithmetic number, because the mean of its divisors is an integer number (37575).

2⁷⁵¹⁴⁹ is an apocalyptic number.

It is an amenable number.

75149 is a deficient number, since it is larger than the sum of its proper divisors (1).

75149 is an equidigital number, since it uses as much as digits as its factorization.

75149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 26.

The square root of 75149 is about 274.1331793125. The cubic root of 75149 is about 42.1995417843.

It can be divided in two parts, 75 and 149, that multiplied together give a triangular number (11175 = T₁₄₉).

The spelling of 75149 in words is "seventy-five thousand, one hundred forty-nine".