429138 has 24 divisors (see below), whose sum is σ = 965328. Its totient is φ = 142884.

The previous prime is 429137. The next prime is 429139. The reversal of 429138 is 831924.

It is an interprime number because it is at equal distance from previous prime (429137) and next prime (429139).

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429138.

It is not an unprimeable number, because it can be changed into a prime (429137) 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, 45 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (40222).

2⁴²⁹¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482664).

429138 is an abundant number, since it is smaller than the sum of its proper divisors (536190).

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

429138 is an equidigital number, since it uses as much as digits as its factorization.

429138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 429138 is about 655.0862538628. The cubic root of 429138 is about 75.4279534335.

It can be divided in two parts, 42 and 9138, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 429138 in words is "four hundred twenty-nine thousand, one hundred thirty-eight".