129258540 has 72 divisors (see below), whose sum is σ = 393211728. Its totient is φ = 34369920.

The previous prime is 129258523. The next prime is 129258581. The reversal of 129258540 is 45852921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 129258495 and 129258504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78930 + ... + 80550.

It is an arithmetic number, because the mean of its divisors is an integer number (5461274).

Almost surely, 2^129258540 is an apocalyptic number.

129258540 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 129258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196605864).

129258540 is an abundant number, since it is smaller than the sum of its proper divisors (263953188).

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

129258540 is a wasteful number, since it uses less digits than its factorization.

129258540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2074 counting only the distinct ones).

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

The square root of 129258540 is about 11369.1925834687. The cubic root of 129258540 is about 505.6147661243.

The spelling of 129258540 in words is "one hundred twenty-nine million, two hundred fifty-eight thousand, five hundred forty".