129435408 has 110 divisors (see below), whose sum is σ = 378915294. Its totient is φ = 42830208.

The previous prime is 129435407. The next prime is 129435409. The reversal of 129435408 is 804534921.

It is an interprime number because it is at equal distance from previous prime (129435407) and next prime (129435409).

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 15116544 = 10692^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129435403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 944716 + ... + 944852.

Almost surely, 2^129435408 is an apocalyptic number.

129435408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129435408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189457647).

129435408 is an abundant number, since it is smaller than the sum of its proper divisors (249479886).

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

129435408 is an frugal number, since it uses more digits than its factorization.

129435408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 129435408 is about 11376.9683132195. The cubic root of 129435408 is about 505.8452765285.

The spelling of 129435408 in words is "one hundred twenty-nine million, four hundred thirty-five thousand, four hundred eight".