130082135040 has 1056 divisors, whose sum is σ = 557936870400. Its totient is φ = 27550679040.

The previous prime is 130082135011. The next prime is 130082135107. The reversal of 130082135040 is 40531280031.

It is a happy number.

130082135040 is a `hidden beast` number, since 1 + 300 + 8 + 2 + 1 + 350 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 130082134995 and 130082135013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125198841 + ... + 125199879.

Almost surely, 2^130082135040 is an apocalyptic number.

130082135040 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 130082135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278968435200).

130082135040 is an abundant number, since it is smaller than the sum of its proper divisors (427854735360).

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

130082135040 is a wasteful number, since it uses less digits than its factorization.

130082135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 130082135040 in words is "one hundred thirty billion, eighty-two million, one hundred thirty-five thousand, forty".