129516760 has 64 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 49728000.

The previous prime is 129516707. The next prime is 129516767. The reversal of 129516760 is 67615921.

It is a super-2 number, since 2×129516760² = 33549182241795200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129516767) 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 15 ways as a sum of consecutive naturals, for example, 184410 + ... + 185110.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2^129516760 is an apocalyptic number.

129516760 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 129516760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

129516760 is an abundant number, since it is smaller than the sum of its proper divisors (173747240).

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

129516760 is a wasteful number, since it uses less digits than its factorization.

129516760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 129516760 is about 11380.5430450396. The cubic root of 129516760 is about 505.9512313239.

The spelling of 129516760 in words is "one hundred twenty-nine million, five hundred sixteen thousand, seven hundred sixty".