130820600 has 48 divisors (see below), whose sum is σ = 309172920. Its totient is φ = 51465600.

The previous prime is 130820587. The next prime is 130820621. The reversal of 130820600 is 6028031.

It is a super-2 number, since 2×130820600² = 34228058768720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6839 + ... + 17561.

Almost surely, 2^130820600 is an apocalyptic number.

130820600 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 130820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586460).

130820600 is an abundant number, since it is smaller than the sum of its proper divisors (178352320).

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

130820600 is a wasteful number, since it uses less digits than its factorization.

130820600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 130820600 is about 11437.6833318640. The cubic root of 130820600 is about 507.6433626381.

Adding to 130820600 its reverse (6028031), we get a palindrome (136848631).

The spelling of 130820600 in words is "one hundred thirty million, eight hundred twenty thousand, six hundred".