149205 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 65856.

The previous prime is 149197. The next prime is 149213. The reversal of 149205 is 502941.

149205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149197) and next prime (149213).

It is not a de Polignac number, because 149205 - 2³ = 149197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5131 + ... + 5159.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹⁴⁹²⁰⁵ is an apocalyptic number.

149205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149205 is a deficient number, since it is larger than the sum of its proper divisors (138795).

149205 is an equidigital number, since it uses as much as digits as its factorization.

149205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 149205 is about 386.2706305170. The cubic root of 149205 is about 53.0388939617.

The spelling of 149205 in words is "one hundred forty-nine thousand, two hundred five".