129733920 has 192 divisors, whose sum is σ = 462672000. Its totient is φ = 33942528.

The previous prime is 129733889. The next prime is 129733937. The reversal of 129733920 is 29337921.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 254626 + ... + 255134.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^129733920 is an apocalyptic number.

129733920 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 129733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

129733920 is an abundant number, since it is smaller than the sum of its proper divisors (332938080).

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

129733920 is a wasteful number, since it uses less digits than its factorization.

129733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 129733920 is about 11390.0798943642. The cubic root of 129733920 is about 506.2338485931.

It can be divided in two parts, 129 and 733920, that multiplied together give a triangular number (94675680 = T₁₃₇₆₀).

The spelling of 129733920 in words is "one hundred twenty-nine million, seven hundred thirty-three thousand, nine hundred twenty".