130536000 has 504 divisors, whose sum is σ = 557866296. Its totient is φ = 29030400.

The previous prime is 130535987. The next prime is 130536001. The reversal of 130536000 is 635031.

130536000 is a `hidden beast` number, since 1 + 305 + 360 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 130507776 = 168^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130536001) 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 71 ways as a sum of consecutive naturals, for example, 3527982 + ... + 3528018.

Almost surely, 2^130536000 is an apocalyptic number.

130536000 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 130536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278933148).

130536000 is an abundant number, since it is smaller than the sum of its proper divisors (427330296).

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

130536000 is a wasteful number, since it uses less digits than its factorization.

130536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130536000 is about 11425.2352273378. The cubic root of 130536000 is about 507.2749695960.

It can be divided in two parts, 130 and 536000, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 130536000 in words is "one hundred thirty million, five hundred thirty-six thousand".