130448640 has 288 divisors, whose sum is σ = 499193856. Its totient is φ = 28385280.

The previous prime is 130448629. The next prime is 130448653. The reversal of 130448640 is 46844031.

It is a super-3 number, since 3×130448640³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130448598 and 130448607.

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 31 ways as a sum of consecutive naturals, for example, 618135 + ... + 618345.

It is an arithmetic number, because the mean of its divisors is an integer number (1733312).

Almost surely, 2^130448640 is an apocalyptic number.

130448640 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 130448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249596928).

130448640 is an abundant number, since it is smaller than the sum of its proper divisors (368745216).

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

130448640 is a wasteful number, since it uses less digits than its factorization.

130448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 130448640 is about 11421.4114714426. The cubic root of 130448640 is about 507.1617813288.

The spelling of 130448640 in words is "one hundred thirty million, four hundred forty-eight thousand, six hundred forty".