129137680 has 160 divisors (see below), whose sum is σ = 369619200. Its totient is φ = 40974336.

The previous prime is 129137669. The next prime is 129137683. The reversal of 129137680 is 86731921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129137683) 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 31 ways as a sum of consecutive naturals, for example, 563806 + ... + 564034.

It is an arithmetic number, because the mean of its divisors is an integer number (2310120).

Almost surely, 2^129137680 is an apocalyptic number.

129137680 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 129137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184809600).

129137680 is an abundant number, since it is smaller than the sum of its proper divisors (240481520).

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

129137680 is a wasteful number, since it uses less digits than its factorization.

129137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 129137680 is about 11363.8760992894. The cubic root of 129137680 is about 505.4571294565.

The spelling of 129137680 in words is "one hundred twenty-nine million, one hundred thirty-seven thousand, six hundred eighty".