130508787600 has 405 divisors, whose sum is σ = 472415561553. Its totient is φ = 34646279040.

The previous prime is 130508787593. The next prime is 130508787631. The reversal of 130508787600 is 6787805031.

The square root of 130508787600 is 361260.

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

130508787600 is a `hidden beast` number, since 1 + 3 + 0 + 508 + 7 + 87 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46983163536 + 83525624064 = 216756^2 + 289008^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 585241089 + ... + 585241311.

Almost surely, 2^130508787600 is an apocalyptic number.

130508787600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130508787600 is the 361260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130508787600

130508787600 is an abundant number, since it is smaller than the sum of its proper divisors (341906773953).

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

130508787600 is an frugal number, since it uses more digits than its factorization.

130508787600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 130508787600 in words is "one hundred thirty billion, five hundred eight million, seven hundred eighty-seven thousand, six hundred".