129146976 has 216 divisors, whose sum is σ = 443635920. Its totient is φ = 34868736.

The previous prime is 129146957. The next prime is 129146987. The reversal of 129146976 is 679641921.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2747785 + ... + 2747831.

It is an arithmetic number, because the mean of its divisors is an integer number (2053870).

Almost surely, 2^129146976 is an apocalyptic number.

129146976 is a gapful number since it is divisible by the number (16) 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 129146976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221817960).

129146976 is an abundant number, since it is smaller than the sum of its proper divisors (314488944).

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

129146976 is a wasteful number, since it uses less digits than its factorization.

129146976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 88 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 129146976 is about 11364.2851073000. The cubic root of 129146976 is about 505.4692576408.

The spelling of 129146976 in words is "one hundred twenty-nine million, one hundred forty-six thousand, nine hundred seventy-six".