130554300240 has 1920 divisors, whose sum is σ = 623960064000. Its totient is φ = 23648993280.

The previous prime is 130554300127. The next prime is 130554300269. The reversal of 130554300240 is 42003455031.

130554300240 is a `hidden beast` number, since 1 + 305 + 54 + 300 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×130554300240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 656051661 + ... + 656051859.

It is an arithmetic number, because the mean of its divisors is an integer number (324979200).

Almost surely, 2^130554300240 is an apocalyptic number.

130554300240 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 130554300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032000).

130554300240 is an abundant number, since it is smaller than the sum of its proper divisors (493405763760).

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

130554300240 is a wasteful number, since it uses less digits than its factorization.

130554300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 130554300240 its reverse (42003455031), we get a palindrome (172557755271).

The spelling of 130554300240 in words is "one hundred thirty billion, five hundred fifty-four million, three hundred thousand, two hundred forty".