130929120 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 28892160.

The previous prime is 130929107. The next prime is 130929137. The reversal of 130929120 is 21929031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×130929120³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312271 + ... + 312689.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^130929120 is an apocalyptic number.

130929120 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 130929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

130929120 is an abundant number, since it is smaller than the sum of its proper divisors (397424160).

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

130929120 is a wasteful number, since it uses less digits than its factorization.

130929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 130929120 is about 11442.4263161272. The cubic root of 130929120 is about 507.7836928100.

The spelling of 130929120 in words is "one hundred thirty million, nine hundred twenty-nine thousand, one hundred twenty".