130436820 has 72 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 34545600.

The previous prime is 130436819. The next prime is 130436827. The reversal of 130436820 is 28634031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130436827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24781 + ... + 29579.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2^130436820 is an apocalyptic number.

130436820 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 130436820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

130436820 is an abundant number, since it is smaller than the sum of its proper divisors (267924780).

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

130436820 is a wasteful number, since it uses less digits than its factorization.

130436820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130436820 is about 11420.8940105405. The cubic root of 130436820 is about 507.1464628266.

The spelling of 130436820 in words is "one hundred thirty million, four hundred thirty-six thousand, eight hundred twenty".