130820508 has 336 divisors, whose sum is σ = 462732480. Its totient is φ = 31352832.

The previous prime is 130820489. The next prime is 130820509. The reversal of 130820508 is 805028031.

It is a happy number.

130820508 is a `hidden beast` number, since 130 + 8 + 20 + 508 = 666.

It is a super-2 number, since 2×130820508² = 34228010626756128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130820509) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4511038 + ... + 4511066.

It is an arithmetic number, because the mean of its divisors is an integer number (1377180).

Almost surely, 2^130820508 is an apocalyptic number.

130820508 is a gapful number since it is divisible by the number (18) 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 130820508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231366240).

130820508 is an abundant number, since it is smaller than the sum of its proper divisors (331911972).

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

130820508 is a wasteful number, since it uses less digits than its factorization.

130820508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 130820508 is about 11437.6793100699. The cubic root of 130820508 is about 507.6432436374.

Adding to 130820508 its reverse (805028031), we get a palindrome (935848539).

It can be divided in two parts, 130820 and 508, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 130820508 in words is "one hundred thirty million, eight hundred twenty thousand, five hundred eight".