148513 has 2 divisors, whose sum is σ = 148514. Its totient is φ = 148512.

The previous prime is 148501. The next prime is 148517. The reversal of 148513 is 315841.

148513 = 272² + 273².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 73984 = 273^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 148513 - 2¹³ = 140321 is a prime.

It is a super-2 number, since 2×148513² = 44112222338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (148517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74256 + 74257.

It is an arithmetic number, because the mean of its divisors is an integer number (74257).

2¹⁴⁸⁵¹³ is an apocalyptic number.

148513 is the 273-rd centered square number.

It is an amenable number.

148513 is a deficient number, since it is larger than the sum of its proper divisors (1).

148513 is an equidigital number, since it uses as much as digits as its factorization.

148513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 480, while the sum is 22.

The square root of 148513 is about 385.3738444679. The cubic root of 148513 is about 52.9567702551.

The spelling of 148513 in words is "one hundred forty-eight thousand, five hundred thirteen".