130032262656 has 480 divisors, whose sum is σ = 401208487680. Its totient is φ = 42030710784.

The previous prime is 130032262639. The next prime is 130032262667. The reversal of 130032262656 is 656262230031.

130032262656 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 22 + 626 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130032262656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935483835 + ... + 935483973.

It is an arithmetic number, because the mean of its divisors is an integer number (835851016).

Almost surely, 2^130032262656 is an apocalyptic number.

130032262656 is a gapful number since it is divisible by the number (16) 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 130032262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200604243840).

130032262656 is an abundant number, since it is smaller than the sum of its proper divisors (271176225024).

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

130032262656 is an equidigital number, since it uses as much as digits as its factorization.

130032262656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 130032262656 its reverse (656262230031), we get a palindrome (786294492687).

The spelling of 130032262656 in words is "one hundred thirty billion, thirty-two million, two hundred sixty-two thousand, six hundred fifty-six".