130515000 has 320 divisors, whose sum is σ = 512835840. Its totient is φ = 26880000.

The previous prime is 130514999. The next prime is 130515067. The reversal of 130515000 is 515031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1154944 + ... + 1155056.

It is an arithmetic number, because the mean of its divisors is an integer number (1602612).

Almost surely, 2^130515000 is an apocalyptic number.

130515000 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 130515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256417920).

130515000 is an abundant number, since it is smaller than the sum of its proper divisors (382320840).

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

130515000 is a wasteful number, since it uses less digits than its factorization.

130515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 130515000 is about 11424.3161720954. The cubic root of 130515000 is about 507.2477654896.

The spelling of 130515000 in words is "one hundred thirty million, five hundred fifteen thousand".