130014000 has 240 divisors, whose sum is σ = 470755584. Its totient is φ = 33408000.

The previous prime is 130013981. The next prime is 130014019. The reversal of 130014000 is 410031.

It is an interprime number because it is at equal distance from previous prime (130013981) and next prime (130014019).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557884 + ... + 558116.

Almost surely, 2^130014000 is an apocalyptic number.

130014000 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 130014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235377792).

130014000 is an abundant number, since it is smaller than the sum of its proper divisors (340741584).

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

130014000 is a wasteful number, since it uses less digits than its factorization.

130014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130014000 is about 11402.3681750766. The cubic root of 130014000 is about 506.5978861697.

Adding to 130014000 its reverse (410031), we get a palindrome (130424031).

The spelling of 130014000 in words is "one hundred thirty million, fourteen thousand".