130254505920 has 1680 divisors, whose sum is σ = 618048446400. Its totient is φ = 25400770560.

The previous prime is 130254505907. The next prime is 130254505933. The reversal of 130254505920 is 29505452031.

It is a happy number.

130254505920 is a `hidden beast` number, since 1 + 3 + 0 + 25 + 45 + 0 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130254505907) and next prime (130254505933).

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 373221906 + ... + 373222254.

It is an arithmetic number, because the mean of its divisors is an integer number (367885980).

Almost surely, 2^130254505920 is an apocalyptic number.

130254505920 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 130254505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309024223200).

130254505920 is an abundant number, since it is smaller than the sum of its proper divisors (487793940480).

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

130254505920 is a wasteful number, since it uses less digits than its factorization.

130254505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 130254505920 its reverse (29505452031), we get a palindrome (159759957951).

The spelling of 130254505920 in words is "one hundred thirty billion, two hundred fifty-four million, five hundred five thousand, nine hundred twenty".