130416 has 80 divisors (see below), whose sum is σ = 416640. Its totient is φ = 34560.

The previous prime is 130411. The next prime is 130423. The reversal of 130416 is 614031.

130416 is nontrivially palindromic in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 130395 and 130404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130416.

It is not an unprimeable number, because it can be changed into a prime (130411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6855 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2¹³⁰⁴¹⁶ is an apocalyptic number.

130416 is a gapful number since it is divisible by the number (16) 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 130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

130416 is an abundant number, since it is smaller than the sum of its proper divisors (286224).

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

130416 is a wasteful number, since it uses less digits than its factorization.

130416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130416 is about 361.1315549769. The cubic root of 130416 is about 50.7119478239.

Adding to 130416 its reverse (614031), we get a palindrome (744447).

The spelling of 130416 in words is "one hundred thirty thousand, four hundred sixteen".