130644000 has 288 divisors, whose sum is σ = 490613760. Its totient is φ = 32832000.

The previous prime is 130643987. The next prime is 130644023. The reversal of 130644000 is 446031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683905 + ... + 684095.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^130644000 is an apocalyptic number.

130644000 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 130644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

130644000 is an abundant number, since it is smaller than the sum of its proper divisors (359969760).

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

130644000 is a wasteful number, since it uses less digits than its factorization.

130644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130644000 is about 11429.9606298535. The cubic root of 130644000 is about 507.4148303611.

The spelling of 130644000 in words is "one hundred thirty million, six hundred forty-four thousand".