130067395200 has 144 divisors (see below), whose sum is σ = 464110375950. Its totient is φ = 34684631040.

The previous prime is 130067395187. The next prime is 130067395207. The reversal of 130067395200 is 2593760031.

130067395200 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 67 + 395 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 112139256384 + 17928138816 = 334872^2 + 133896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130067395200² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130067395207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2229315 + ... + 2286914.

Almost surely, 2^130067395200 is an apocalyptic number.

130067395200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130067395200 is an abundant number, since it is smaller than the sum of its proper divisors (334042980750).

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

130067395200 is a wasteful number, since it uses less digits than its factorization.

130067395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516259 (or 4516239 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 130067395200 in words is "one hundred thirty billion, sixty-seven million, three hundred ninety-five thousand, two hundred".