130346820 has 120 divisors (see below), whose sum is σ = 433047384. Its totient is φ = 32707584.

The previous prime is 130346779. The next prime is 130346849. The reversal of 130346820 is 28643031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 119377476 = 3312^2 + 10926^2 .

It is a super-2 number, since 2×130346820² = 33980586968224800, 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25174 + ... + 29906.

Almost surely, 2^130346820 is an apocalyptic number.

130346820 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 130346820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216523692).

130346820 is an abundant number, since it is smaller than the sum of its proper divisors (302700564).

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

130346820 is a wasteful number, since it uses less digits than its factorization.

130346820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4760 counting only the distinct ones).

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

The square root of 130346820 is about 11416.9531837527. The cubic root of 130346820 is about 507.0297941246.

Adding to 130346820 its reverse (28643031), we get a palindrome (158989851).

The spelling of 130346820 in words is "one hundred thirty million, three hundred forty-six thousand, eight hundred twenty".