130679377920 has 1664 divisors, whose sum is σ = 594470016000. Its totient is φ = 27051687936.

The previous prime is 130679377919. The next prime is 130679377931. The reversal of 130679377920 is 29773976031.

It is a happy number.

130679377920 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 (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2465648614 + ... + 2465648666.

Almost surely, 2^130679377920 is an apocalyptic number.

130679377920 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 130679377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297235008000).

130679377920 is an abundant number, since it is smaller than the sum of its proper divisors (463790638080).

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

130679377920 is an equidigital number, since it uses as much as digits as its factorization.

130679377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 130679377920 in words is "one hundred thirty billion, six hundred seventy-nine million, three hundred seventy-seven thousand, nine hundred twenty".