129952416 has 96 divisors (see below), whose sum is σ = 375883200. Its totient is φ = 38983680.

The previous prime is 129952409. The next prime is 129952421. The reversal of 129952416 is 614259921.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114540 + ... + 115668.

It is an arithmetic number, because the mean of its divisors is an integer number (3915450).

Almost surely, 2^129952416 is an apocalyptic number.

129952416 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 129952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187941600).

129952416 is an abundant number, since it is smaller than the sum of its proper divisors (245930784).

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

129952416 is a wasteful number, since it uses less digits than its factorization.

129952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 129952416 is about 11399.6673635681. The cubic root of 129952416 is about 506.5178864480.

The spelling of 129952416 in words is "one hundred twenty-nine million, nine hundred fifty-two thousand, four hundred sixteen".