130858000 has 160 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 41356800.

The previous prime is 130857989. The next prime is 130858001. The reversal of 130858000 is 858031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130858001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181641 + ... + 182359.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^130858000 is an apocalyptic number.

130858000 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 130858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

130858000 is an abundant number, since it is smaller than the sum of its proper divisors (259117040).

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

130858000 is a wasteful number, since it uses less digits than its factorization.

130858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 130858000 is about 11439.3181614990. The cubic root of 130858000 is about 507.6917343593.

The spelling of 130858000 in words is "one hundred thirty million, eight hundred fifty-eight thousand".