129301920 has 240 divisors, whose sum is σ = 498361248. Its totient is φ = 31311360.

The previous prime is 129301919. The next prime is 129301943. The reversal of 129301920 is 29103921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142107 + ... + 143013.

Almost surely, 2^129301920 is an apocalyptic number.

129301920 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 129301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249180624).

129301920 is an abundant number, since it is smaller than the sum of its proper divisors (369059328).

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

129301920 is a wasteful number, since it uses less digits than its factorization.

129301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

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

The square root of 129301920 is about 11371.1002106217. The cubic root of 129301920 is about 505.6713223238.

The spelling of 129301920 in words is "one hundred twenty-nine million, three hundred one thousand, nine hundred twenty".