129461520 has 160 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 32901120.

The previous prime is 129461513. The next prime is 129461531. The reversal of 129461520 is 25164921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541561 + ... + 541799.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2^129461520 is an apocalyptic number.

129461520 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 129461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

129461520 is an abundant number, since it is smaller than the sum of its proper divisors (291225840).

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

129461520 is a wasteful number, since it uses less digits than its factorization.

129461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 129461520 is about 11378.1158369916. The cubic root of 129461520 is about 505.8792902603.

The spelling of 129461520 in words is "one hundred twenty-nine million, four hundred sixty-one thousand, five hundred twenty".