130405000 has 80 divisors (see below), whose sum is σ = 333455760. Its totient is φ = 47400000.

The previous prime is 130404991. The next prime is 130405001. The reversal of 130405000 is 504031.

It is not an unprimeable number, because it can be changed into a prime (130405001) 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 19 ways as a sum of consecutive naturals, for example, 53815 + ... + 56185.

It is an arithmetic number, because the mean of its divisors is an integer number (4168197).

Almost surely, 2^130405000 is an apocalyptic number.

130405000 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 130405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166727880).

130405000 is an abundant number, since it is smaller than the sum of its proper divisors (203050760).

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

130405000 is a wasteful number, since it uses less digits than its factorization.

130405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 130405000 is about 11419.5008647489. The cubic root of 130405000 is about 507.1052200935.

Adding to 130405000 its reverse (504031), we get a palindrome (130909031).

The spelling of 130405000 in words is "one hundred thirty million, four hundred five thousand".