130148020800 has 1008 divisors, whose sum is σ = 559928328960. Its totient is φ = 28028436480.

The previous prime is 130148020799. The next prime is 130148020813. The reversal of 130148020800 is 8020841031.

130148020800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 169242816 + ... + 169243584.

Almost surely, 2^130148020800 is an apocalyptic number.

130148020800 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 130148020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279964164480).

130148020800 is an abundant number, since it is smaller than the sum of its proper divisors (429780308160).

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

130148020800 is a wasteful number, since it uses less digits than its factorization.

130148020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 130148020800 its reverse (8020841031), we get a palindrome (138168861831).

The spelling of 130148020800 in words is "one hundred thirty billion, one hundred forty-eight million, twenty thousand, eight hundred".