130147164000 has 288 divisors, whose sum is σ = 527877919296. Its totient is φ = 29747865600.

The previous prime is 130147163957. The next prime is 130147164001. The reversal of 130147164000 is 461741031.

It is a happy number.

130147164000 is a `hidden beast` number, since 1 + 3 + 0 + 14 + 7 + 1 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130147164001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6229 + ... + 510228.

It is an arithmetic number, because the mean of its divisors is an integer number (1832909442).

Almost surely, 2^130147164000 is an apocalyptic number.

130147164000 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 130147164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263938959648).

130147164000 is an abundant number, since it is smaller than the sum of its proper divisors (397730755296).

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

130147164000 is a wasteful number, since it uses less digits than its factorization.

130147164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516495 (or 516474 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 130147164000 in words is "one hundred thirty billion, one hundred forty-seven million, one hundred sixty-four thousand".