130582156320 has 768 divisors, whose sum is σ = 571724697600. Its totient is φ = 27043061760.

The previous prime is 130582156303. The next prime is 130582156351. The reversal of 130582156320 is 23651285031.

130582156320 = T₃₀₉ + T₃₁₀ + ... + T₉₂₁₈.

130582156320 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 8 + 2 + 15 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152016051 + ... + 152016909.

It is an arithmetic number, because the mean of its divisors is an integer number (744433200).

Almost surely, 2^130582156320 is an apocalyptic number.

130582156320 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 130582156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285862348800).

130582156320 is an abundant number, since it is smaller than the sum of its proper divisors (441142541280).

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

130582156320 is a wasteful number, since it uses less digits than its factorization.

130582156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 130582156320 in words is "one hundred thirty billion, five hundred eighty-two million, one hundred fifty-six thousand, three hundred twenty".