130353300 has 540 divisors, whose sum is σ = 558748960. Its totient is φ = 25660800.

The previous prime is 130353299. The next prime is 130353313. The reversal of 130353300 is 3353031.

130353300 = 121³ + 122³ + ... + 164³.

130353300 is a `hidden beast` number, since 13 + 0 + 353 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6860691 + ... + 6860709.

Almost surely, 2^130353300 is an apocalyptic number.

130353300 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 130353300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279374480).

130353300 is an abundant number, since it is smaller than the sum of its proper divisors (428395660).

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

130353300 is a wasteful number, since it uses less digits than its factorization.

130353300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 130353300 is about 11417.2369687241. The cubic root of 130353300 is about 507.0381960649.

The spelling of 130353300 in words is "one hundred thirty million, three hundred fifty-three thousand, three hundred".