130534800 has 360 divisors, whose sum is σ = 490801920. Its totient is φ = 29568000.

The previous prime is 130534793. The next prime is 130534837. The reversal of 130534800 is 8435031.

It is a super-2 number, since 2×130534800² = 34078668022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4210785 + ... + 4210815.

Almost surely, 2^130534800 is an apocalyptic number.

130534800 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 130534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245400960).

130534800 is an abundant number, since it is smaller than the sum of its proper divisors (360267120).

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

130534800 is a wasteful number, since it uses less digits than its factorization.

130534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 130534800 is about 11425.1827118869. The cubic root of 130534800 is about 507.2734151542.

Adding to 130534800 its reverse (8435031), we get a palindrome (138969831).

The spelling of 130534800 in words is "one hundred thirty million, five hundred thirty-four thousand, eight hundred".