130457600 has 252 divisors, whose sum is σ = 405282654. Its totient is φ = 41287680.

The previous prime is 130457567. The next prime is 130457603. The reversal of 130457600 is 6754031.

130457600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 72454144 + 58003456 = 8512^2 + 7616^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 130457600.

It is not an unprimeable number, because it can be changed into a prime (130457603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10035194 + ... + 10035206.

Almost surely, 2^130457600 is an apocalyptic number.

130457600 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 130457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202641327).

130457600 is an abundant number, since it is smaller than the sum of its proper divisors (274825054).

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

130457600 is an equidigital number, since it uses as much as digits as its factorization.

130457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 130457600 is about 11421.8037104478. The cubic root of 130457600 is about 507.1733927071.

Multiplying 130457600 by its sum of digits (26), we get a square (3391897600 = 58240²).

130457600 divided by its sum of digits (26) gives a square (5017600 = 2240²).

The spelling of 130457600 in words is "one hundred thirty million, four hundred fifty-seven thousand, six hundred".