129414516 has 96 divisors (see below), whose sum is σ = 378749952. Its totient is φ = 33411840.

The previous prime is 129414511. The next prime is 129414517. The reversal of 129414516 is 615414921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129414511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209440 + ... + 210056.

It is an arithmetic number, because the mean of its divisors is an integer number (3945312).

Almost surely, 2^129414516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129414516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189374976).

129414516 is an abundant number, since it is smaller than the sum of its proper divisors (249335436).

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

129414516 is a wasteful number, since it uses less digits than its factorization.

129414516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 129414516 is about 11376.0501053749. The cubic root of 129414516 is about 505.8180591225.

The spelling of 129414516 in words is "one hundred twenty-nine million, four hundred fourteen thousand, five hundred sixteen".