130638873600 has 495 divisors, whose sum is σ = 485675320141. Its totient is φ = 34698240000.

The previous prime is 130638873587. The next prime is 130638873611. The reversal of 130638873600 is 6378836031.

The square root of 130638873600 is 361440.

It is a perfect power (a square), and thus also a powerful number.

130638873600 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 38 + 8 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47029994496 + 83608879104 = 216864^2 + 289152^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 520473475 + ... + 520473725.

Almost surely, 2^130638873600 is an apocalyptic number.

130638873600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130638873600 is the 361440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130638873600

130638873600 is an abundant number, since it is smaller than the sum of its proper divisors (355036446541).

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

130638873600 is an frugal number, since it uses more digits than its factorization.

130638873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 130638873600 in words is "one hundred thirty billion, six hundred thirty-eight million, eight hundred seventy-three thousand, six hundred".