130078341120 has 1536 divisors, whose sum is σ = 563576832000. Its totient is φ = 24843386880.

The previous prime is 130078341109. The next prime is 130078341137. The reversal of 130078341120 is 21143870031.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1646561241 + ... + 1646561319.

It is an arithmetic number, because the mean of its divisors is an integer number (366912000).

Almost surely, 2^130078341120 is an apocalyptic number.

130078341120 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 130078341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281788416000).

130078341120 is an abundant number, since it is smaller than the sum of its proper divisors (433498490880).

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

130078341120 is a wasteful number, since it uses less digits than its factorization.

130078341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 130078341120 in words is "one hundred thirty billion, seventy-eight million, three hundred forty-one thousand, one hundred twenty".