129895920 has 480 divisors, whose sum is σ = 569963520. Its totient is φ = 26611200.

The previous prime is 129895907. The next prime is 129895943. The reversal of 129895920 is 29598921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829485 + ... + 1829555.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^129895920 is an apocalyptic number.

129895920 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 129895920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

129895920 is an abundant number, since it is smaller than the sum of its proper divisors (440067600).

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

129895920 is a wasteful number, since it uses less digits than its factorization.

129895920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 129895920 is about 11397.1891271489. The cubic root of 129895920 is about 506.4444739809. Note that the first 4 decimals are identical.

The spelling of 129895920 in words is "one hundred twenty-nine million, eight hundred ninety-five thousand, nine hundred twenty".