130306624 has 56 divisors (see below), whose sum is σ = 296997120. Its totient is φ = 55566336.

The previous prime is 130306621. The next prime is 130306667. The reversal of 130306624 is 426603031.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (130306621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106464 + ... + 107680.

It is an arithmetic number, because the mean of its divisors is an integer number (5303520).

Almost surely, 2^130306624 is an apocalyptic number.

130306624 is a gapful number since it is divisible by the number (14) 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 130306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148498560).

130306624 is an abundant number, since it is smaller than the sum of its proper divisors (166690496).

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

130306624 is a wasteful number, since it uses less digits than its factorization.

130306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 130306624 is about 11415.1926834373. The cubic root of 130306624 is about 506.9776699405.

Adding to 130306624 its reverse (426603031), we get a palindrome (556909655).

The spelling of 130306624 in words is "one hundred thirty million, three hundred six thousand, six hundred twenty-four".