130683456 has 98 divisors (see below), whose sum is σ = 388948422. Its totient is φ = 43545600.

The previous prime is 130683439. The next prime is 130683461. The reversal of 130683456 is 654386031.

130683456 is a `hidden beast` number, since 1 + 306 + 8 + 345 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 18662400 = 10584^2 + 4320^2 .

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 130683456.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45256 + ... + 48056.

Almost surely, 2^130683456 is an apocalyptic number.

130683456 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 130683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194474211).

130683456 is an abundant number, since it is smaller than the sum of its proper divisors (258264966).

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

130683456 is an frugal number, since it uses more digits than its factorization.

130683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 130683456 is about 11431.6864897529. The cubic root of 130683456 is about 507.4659069367.

The spelling of 130683456 in words is "one hundred thirty million, six hundred eighty-three thousand, four hundred fifty-six".