45129 has 12 divisors (see below), whose sum is σ = 70224. Its totient is φ = 25704.

The previous prime is 45127. The next prime is 45131. The reversal of 45129 is 92154.

It is an interprime number because it is at equal distance from previous prime (45127) and next prime (45131).

It is not a de Polignac number, because 45129 - 2¹ = 45127 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (45121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (5852).

2⁴⁵¹²⁹ is an apocalyptic number.

45129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45129 is a deficient number, since it is larger than the sum of its proper divisors (25095).

45129 is a wasteful number, since it uses less digits than its factorization.

45129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

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

The square root of 45129 is about 212.4358726769. The cubic root of 45129 is about 35.6028887106.

Adding to 45129 its sum of digits (21), we get a triangular number (45150 = T₃₀₀).

The spelling of 45129 in words is "forty-five thousand, one hundred twenty-nine".