129195 has 40 divisors (see below), whose sum is σ = 261360. Its totient is φ = 60480.

The previous prime is 129193. The next prime is 129197. The reversal of 129195 is 591921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129193) and next prime (129197).

129195 is an admirable number.

It is not a de Polignac number, because 129195 - 2¹ = 129193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4441 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2¹²⁹¹⁹⁵ is an apocalyptic number.

129195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129195 is an abundant number, since it is smaller than the sum of its proper divisors (132165).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129195 is a wasteful number, since it uses less digits than its factorization.

129195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 129195 is about 359.4370598589. The cubic root of 129195 is about 50.5531903700.

It can be divided in two parts, 129 and 195, that added together give a square (324 = 18²).

The spelling of 129195 in words is "one hundred twenty-nine thousand, one hundred ninety-five".