130815000 has 400 divisors, whose sum is σ = 510305400. Its totient is φ = 31104000.

The previous prime is 130814963. The next prime is 130815079. The reversal of 130815000 is 518031.

It is a happy number.

It is a super-2 number, since 2×130815000² = 34225128450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6884991 + ... + 6885009.

Almost surely, 2^130815000 is an apocalyptic number.

130815000 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 130815000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255152700).

130815000 is an abundant number, since it is smaller than the sum of its proper divisors (379490400).

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

130815000 is a wasteful number, since it uses less digits than its factorization.

130815000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 130815000 is about 11437.4385244250. The cubic root of 130815000 is about 507.6361190200.

It can be divided in two parts, 13081 and 5000, that added together give a palindrome (18081).

The spelling of 130815000 in words is "one hundred thirty million, eight hundred fifteen thousand".