130614400 has 240 divisors, whose sum is σ = 398554290. Its totient is φ = 42147840.

The previous prime is 130614389. The next prime is 130614427. The reversal of 130614400 is 4416031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 112021056 + 18593344 = 10584^2 + 4312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7683192 + ... + 7683208.

Almost surely, 2^130614400 is an apocalyptic number.

130614400 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 130614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199277145).

130614400 is an abundant number, since it is smaller than the sum of its proper divisors (267939890).

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

130614400 is an frugal number, since it uses more digits than its factorization.

130614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130614400 is about 11428.6657138968. The cubic root of 130614400 is about 507.3765058216.

The spelling of 130614400 in words is "one hundred thirty million, six hundred fourteen thousand, four hundred".