130648400 has 60 divisors (see below), whose sum is σ = 332363772. Its totient is φ = 49182720.

The previous prime is 130648367. The next prime is 130648403. The reversal of 130648400 is 4846031.

It can be written as a sum of positive squares in 6 ways, for example, as 11751184 + 118897216 = 3428^2 + 10904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130648400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130648403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2807 + ... + 16406.

Almost surely, 2^130648400 is an apocalyptic number.

130648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130648400 is an abundant number, since it is smaller than the sum of its proper divisors (201715372).

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

130648400 is a wasteful number, since it uses less digits than its factorization.

130648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19248 (or 19237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 130648400 is about 11430.1531048363. The cubic root of 130648400 is about 507.4205267579.

The spelling of 130648400 in words is "one hundred thirty million, six hundred forty-eight thousand, four hundred".