130368000 has 320 divisors, whose sum is σ = 500467968. Its totient is φ = 29491200.

The previous prime is 130367981. The next prime is 130368011. The reversal of 130368000 is 863031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343952 + ... + 1344048.

Almost surely, 2^130368000 is an apocalyptic number.

130368000 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 130368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984).

130368000 is an abundant number, since it is smaller than the sum of its proper divisors (370099968).

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

130368000 is an frugal number, since it uses more digits than its factorization.

130368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130368000 is about 11417.8807140380. The cubic root of 130368000 is about 507.0572549900.

The spelling of 130368000 in words is "one hundred thirty million, three hundred sixty-eight thousand".