130845697920 has 1536 divisors, whose sum is σ = 595216512000. Its totient is φ = 26531463168.

The previous prime is 130845697889. The next prime is 130845697949. The reversal of 130845697920 is 29796548031.

130845697920 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 569 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 664191262 + ... + 664191458.

It is an arithmetic number, because the mean of its divisors is an integer number (387510750).

It is a 1-persistent number, because it is pandigital, but 2⋅130845697920 = 261691395840 is not.

Almost surely, 2^130845697920 is an apocalyptic number.

130845697920 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 130845697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297608256000).

130845697920 is an abundant number, since it is smaller than the sum of its proper divisors (464370814080).

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

130845697920 is a wasteful number, since it uses less digits than its factorization.

130845697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 130845697920 in words is "one hundred thirty billion, eight hundred forty-five million, six hundred ninety-seven thousand, nine hundred twenty".