130901705146800 has 180 divisors, whose sum is σ = 519160318321840. Its totient is φ = 29920389742080.

The previous prime is 130901705146783. The next prime is 130901705146813. The reversal of 130901705146800 is 8641507109031.

130901705146800 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 0 + 1 + 70 + 514 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×130901705146800³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2597230855 + ... + 2597281254.

Almost surely, 2^{130901705146800} is an apocalyptic number.

130901705146800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130901705146800 is an abundant number, since it is smaller than the sum of its proper divisors (388258613175040).

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

130901705146800 is a wasteful number, since it uses less digits than its factorization.

130901705146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194512140 (or 5194512126 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 130901705146800 in words is "one hundred thirty trillion, nine hundred one billion, seven hundred five million, one hundred forty-six thousand, eight hundred".