130346640 has 120 divisors (see below), whose sum is σ = 440027640. Its totient is φ = 34578432.

The previous prime is 130346639. The next prime is 130346647. The reversal of 130346640 is 46643031.

130346640 is a `hidden beast` number, since 13 + 0 + 3 + 4 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 130233744 = 336^2 + 11412^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130346647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193344 + ... + 194016.

It is an arithmetic number, because the mean of its divisors is an integer number (3666897).

Almost surely, 2^130346640 is an apocalyptic number.

130346640 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 130346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220013820).

130346640 is an abundant number, since it is smaller than the sum of its proper divisors (309681000).

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

130346640 is a wasteful number, since it uses less digits than its factorization.

130346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130346640 is about 11416.9453007361. The cubic root of 130346640 is about 507.0295607334.

Adding to 130346640 its reverse (46643031), we get a palindrome (176989671).

The spelling of 130346640 in words is "one hundred thirty million, three hundred forty-six thousand, six hundred forty".