130014720 has 480 divisors, whose sum is σ = 536215680. Its totient is φ = 29859840.

The previous prime is 130014667. The next prime is 130014727. The reversal of 130014720 is 27410031.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 130014693 and 130014702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130014727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842871 + ... + 6842889.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^130014720 is an apocalyptic number.

130014720 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 130014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

130014720 is an abundant number, since it is smaller than the sum of its proper divisors (406200960).

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

130014720 is an equidigital number, since it uses as much as digits as its factorization.

130014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130014720 is about 11402.3997474216. The cubic root of 130014720 is about 506.5988213249.

Adding to 130014720 its reverse (27410031), we get a palindrome (157424751).

The spelling of 130014720 in words is "one hundred thirty million, fourteen thousand, seven hundred twenty".