129375120 has 160 divisors (see below), whose sum is σ = 467327232. Its totient is φ = 28993536.

The previous prime is 129375101. The next prime is 129375137. The reversal of 129375120 is 21573921.

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, 88314 + ... + 89766.

Almost surely, 2^129375120 is an apocalyptic number.

129375120 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 129375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233663616).

129375120 is an abundant number, since it is smaller than the sum of its proper divisors (337952112).

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

129375120 is a wasteful number, since it uses less digits than its factorization.

129375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 129375120 is about 11374.3184411199. The cubic root of 129375120 is about 505.7667273469.

The spelling of 129375120 in words is "one hundred twenty-nine million, three hundred seventy-five thousand, one hundred twenty".