130766400 has 210 divisors, whose sum is σ = 481140770. Its totient is φ = 34836480.

The previous prime is 130766393. The next prime is 130766407. The reversal of 130766400 is 4667031.

130766400 is a `hidden beast` number, since 13 + 0 + 7 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130766393) and next prime (130766407).

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 127780416 = 1728^2 + 11304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130766407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129096 + ... + 130104.

Almost surely, 2^130766400 is an apocalyptic number.

130766400 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 130766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240570385).

130766400 is an abundant number, since it is smaller than the sum of its proper divisors (350374370).

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

130766400 is a wasteful number, since it uses less digits than its factorization.

130766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130766400 is about 11435.3137254734. The cubic root of 130766400 is about 507.5732460791.

The spelling of 130766400 in words is "one hundred thirty million, seven hundred sixty-six thousand, four hundred".