130778934048 has 384 divisors, whose sum is σ = 460044748800. Its totient is φ = 35308514304.

The previous prime is 130778934047. The next prime is 130778934049. The reversal of 130778934048 is 840439877031.

It is an interprime number because it is at equal distance from previous prime (130778934047) and next prime (130778934049).

It is a super-2 number, since 2×130778934048² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130778933985 and 130778934003.

It is not an unprimeable number, because it can be changed into a prime (130778934047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53662686 + ... + 53665122.

It is an arithmetic number, because the mean of its divisors is an integer number (1198033200).

Almost surely, 2^130778934048 is an apocalyptic number.

130778934048 is a gapful number since it is divisible by the number (18) 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 130778934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230022374400).

130778934048 is an abundant number, since it is smaller than the sum of its proper divisors (329265814752).

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

130778934048 is a wasteful number, since it uses less digits than its factorization.

130778934048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 130778934048 in words is "one hundred thirty billion, seven hundred seventy-eight million, nine hundred thirty-four thousand, forty-eight".