130353849600 has 216 divisors, whose sum is σ = 463287660192. Its totient is φ = 32087040000.

The previous prime is 130353849589. The next prime is 130353849601. The reversal of 130353849600 is 6948353031.

It is a super-2 number, since 2×130353849600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130353849601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11526 + ... + 510725.

Almost surely, 2^130353849600 is an apocalyptic number.

130353849600 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 130353849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231643830096).

130353849600 is an abundant number, since it is smaller than the sum of its proper divisors (332933810592).

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

130353849600 is a wasteful number, since it uses less digits than its factorization.

130353849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522293 (or 522274 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 130353849600 in words is "one hundred thirty billion, three hundred fifty-three million, eight hundred forty-nine thousand, six hundred".