130006080 has 224 divisors, whose sum is σ = 471098880. Its totient is φ = 33730560.

The previous prime is 130006073. The next prime is 130006081. The reversal of 130006080 is 80600031.

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

It is not an unprimeable number, because it can be changed into a prime (130006081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354057 + ... + 354423.

It is an arithmetic number, because the mean of its divisors is an integer number (2103120).

Almost surely, 2^130006080 is an apocalyptic number.

130006080 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 130006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235549440).

130006080 is an abundant number, since it is smaller than the sum of its proper divisors (341092800).

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

130006080 is a wasteful number, since it uses less digits than its factorization.

130006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130006080 is about 11402.0208735119. The cubic root of 130006080 is about 506.5875992346.

The spelling of 130006080 in words is "one hundred thirty million, six thousand, eighty".