129342960 has 160 divisors (see below), whose sum is σ = 449167680. Its totient is φ = 34209792.

The previous prime is 129342947. The next prime is 129342973. The reversal of 129342960 is 69243921.

It is an interprime number because it is at equal distance from previous prime (129342947) and next prime (129342973).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503152 + ... + 503408.

It is an arithmetic number, because the mean of its divisors is an integer number (2807298).

Almost surely, 2^129342960 is an apocalyptic number.

129342960 is a gapful number since it is divisible by the number (10) 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 129342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224583840).

129342960 is an abundant number, since it is smaller than the sum of its proper divisors (319824720).

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

129342960 is a wasteful number, since it uses less digits than its factorization.

129342960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 129342960 is about 11372.9046421748. The cubic root of 129342960 is about 505.7248161307.

It can be divided in two parts, 1293 and 42960, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 129342960 in words is "one hundred twenty-nine million, three hundred forty-two thousand, nine hundred sixty".