130740136128 has 896 divisors, whose sum is σ = 471918182400. Its totient is φ = 34720358400.

The previous prime is 130740136103. The next prime is 130740136133. The reversal of 130740136128 is 821631047031.

It is a happy number.

130740136128 is a `hidden beast` number, since 1 + 30 + 7 + 4 + 0 + 1 + 3 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130740136092 and 130740136101.

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, 1654938393 + ... + 1654938471.

It is an arithmetic number, because the mean of its divisors is an integer number (526694400).

Almost surely, 2^130740136128 is an apocalyptic number.

130740136128 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 130740136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235959091200).

130740136128 is an abundant number, since it is smaller than the sum of its proper divisors (341178046272).

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

130740136128 is a wasteful number, since it uses less digits than its factorization.

130740136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 130740136128 in words is "one hundred thirty billion, seven hundred forty million, one hundred thirty-six thousand, one hundred twenty-eight".