130168800 has 216 divisors, whose sum is σ = 466142040. Its totient is φ = 34176000.

The previous prime is 130168789. The next prime is 130168811. The reversal of 130168800 is 8861031.

It is an interprime number because it is at equal distance from previous prime (130168789) and next prime (130168811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727111 + ... + 727289.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^130168800 is an apocalyptic number.

130168800 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 130168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233071020).

130168800 is an abundant number, since it is smaller than the sum of its proper divisors (335973240).

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

130168800 is a wasteful number, since it uses less digits than its factorization.

130168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 130168800 is about 11409.1542193100. The cubic root of 130168800 is about 506.7988651655.

The spelling of 130168800 in words is "one hundred thirty million, one hundred sixty-eight thousand, eight hundred".