130347600 has 120 divisors (see below), whose sum is σ = 439599840. Its totient is φ = 32924160.

The previous prime is 130347557. The next prime is 130347631. The reversal of 130347600 is 6743031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19942 + ... + 25658.

It is an arithmetic number, because the mean of its divisors is an integer number (3663332).

Almost surely, 2^130347600 is an apocalyptic number.

130347600 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 130347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219799920).

130347600 is an abundant number, since it is smaller than the sum of its proper divisors (309252240).

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

130347600 is a wasteful number, since it uses less digits than its factorization.

130347600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 130347600 is about 11416.9873434282. The cubic root of 130347600 is about 507.0308054840.

The spelling of 130347600 in words is "one hundred thirty million, three hundred forty-seven thousand, six hundred".