129466080 has 192 divisors, whose sum is σ = 473195520. Its totient is φ = 32997888.

The previous prime is 129466079. The next prime is 129466081. The reversal of 129466080 is 80664921.

129466080 is a `hidden beast` number, since 1 + 2 + 9 + 46 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129466079) and next prime (129466081).

It is a super-2 number, since 2×129466080² = 33522931741132800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (129466081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98709 + ... + 100011.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 2^129466080 is an apocalyptic number.

129466080 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 129466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236597760).

129466080 is an abundant number, since it is smaller than the sum of its proper divisors (343729440).

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

129466080 is a wasteful number, since it uses less digits than its factorization.

129466080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129466080 is about 11378.3162198983. The cubic root of 129466080 is about 505.8852296892.

The spelling of 129466080 in words is "one hundred twenty-nine million, four hundred sixty-six thousand, eighty".