130854958080 has 1408 divisors, whose sum is σ = 557804814336. Its totient is φ = 25391923200.

The previous prime is 130854958079. The next prime is 130854958081. The reversal of 130854958080 is 80859458031.

It is an interprime number because it is at equal distance from previous prime (130854958079) and next prime (130854958081).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130854958081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1576565719 + ... + 1576565801.

It is an arithmetic number, because the mean of its divisors is an integer number (396168192).

Almost surely, 2^130854958080 is an apocalyptic number.

130854958080 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 130854958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278902407168).

130854958080 is an abundant number, since it is smaller than the sum of its proper divisors (426949856256).

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

130854958080 is a wasteful number, since it uses less digits than its factorization.

130854958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 130854958080 in words is "one hundred thirty billion, eight hundred fifty-four million, nine hundred fifty-eight thousand, eighty".