145757 has 2 divisors, whose sum is σ = 145758. Its totient is φ = 145756.

The previous prime is 145753. The next prime is 145759. The reversal of 145757 is 757541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143641 + 2116 = 379^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 145757 - 2² = 145753 is a prime.

Together with 145759, it forms a pair of twin primes.

It is a Chen prime.

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 145757.

It is not a weakly prime, because it can be changed into another prime (145753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72878 + 72879.

It is an arithmetic number, because the mean of its divisors is an integer number (72879).

2¹⁴⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

145757 is a deficient number, since it is larger than the sum of its proper divisors (1).

145757 is an equidigital number, since it uses as much as digits as its factorization.

145757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4900, while the sum is 29.

The square root of 145757 is about 381.7813510375. The cubic root of 145757 is about 52.6271445913.

The spelling of 145757 in words is "one hundred forty-five thousand, seven hundred fifty-seven".