129558240 has 144 divisors (see below), whose sum is σ = 505316448. Its totient is φ = 29611008.

The previous prime is 129558203. The next prime is 129558251. The reversal of 129558240 is 42855921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 129558195 and 129558204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654 + ... + 16506.

It is an arithmetic number, because the mean of its divisors is an integer number (3509142).

Almost surely, 2^129558240 is an apocalyptic number.

129558240 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 129558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252658224).

129558240 is an abundant number, since it is smaller than the sum of its proper divisors (375758208).

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

129558240 is a wasteful number, since it uses less digits than its factorization.

129558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 129558240 is about 11382.3653077908. The cubic root of 129558240 is about 506.0052387924.

The spelling of 129558240 in words is "one hundred twenty-nine million, five hundred fifty-eight thousand, two hundred forty".