129519104 has 160 divisors (see below), whose sum is σ = 319667040. Its totient is φ = 51609600.

The previous prime is 129519083. The next prime is 129519127. The reversal of 129519104 is 401915921.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 2123234 + ... + 2123294.

It is an arithmetic number, because the mean of its divisors is an integer number (1997919).

Almost surely, 2^129519104 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 129519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

129519104 is an abundant number, since it is smaller than the sum of its proper divisors (190147936).

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

129519104 is a wasteful number, since it uses less digits than its factorization.

129519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 129519104 is about 11380.6460273571. The cubic root of 129519104 is about 505.9542835480.

The spelling of 129519104 in words is "one hundred twenty-nine million, five hundred nineteen thousand, one hundred four".