130434624 has 84 divisors (see below), whose sum is σ = 387760464. Its totient is φ = 43473024.

The previous prime is 130434613. The next prime is 130434637. The reversal of 130434624 is 426434031.

130434624 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 34 + 624 = 666.

It is a super-2 number, since 2×130434624² = 34026382276042752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11359 + ... + 19745.

It is an arithmetic number, because the mean of its divisors is an integer number (4616196).

Almost surely, 2^130434624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193880232).

130434624 is an abundant number, since it is smaller than the sum of its proper divisors (257325840).

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

130434624 is an frugal number, since it uses more digits than its factorization.

130434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 130434624 is about 11420.7978705518. The cubic root of 130434624 is about 507.1436167491.

Adding to 130434624 its reverse (426434031), we get a palindrome (556868655).

The spelling of 130434624 in words is "one hundred thirty million, four hundred thirty-four thousand, six hundred twenty-four".