129757680 has 160 divisors (see below), whose sum is σ = 481427520. Its totient is φ = 31933440.

The previous prime is 129757657. The next prime is 129757709. The reversal of 129757680 is 86757921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25770 + ... + 30390.

It is an arithmetic number, because the mean of its divisors is an integer number (3008922).

Almost surely, 2^129757680 is an apocalyptic number.

129757680 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 129757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240713760).

129757680 is an abundant number, since it is smaller than the sum of its proper divisors (351669840).

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

129757680 is a wasteful number, since it uses less digits than its factorization.

129757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 129757680 is about 11391.1228594902. The cubic root of 129757680 is about 506.2647512848.

The spelling of 129757680 in words is "one hundred twenty-nine million, seven hundred fifty-seven thousand, six hundred eighty".