130146656 has 48 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 60882048.

The previous prime is 130146647. The next prime is 130146659. The reversal of 130146656 is 656641031.

It is a super-3 number, since 3×130146656³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130146659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49175 + ... + 51753.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2^130146656 is an apocalyptic number.

130146656 is a gapful number since it is divisible by the number (16) 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 130146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

130146656 is an abundant number, since it is smaller than the sum of its proper divisors (142920544).

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

130146656 is a wasteful number, since it uses less digits than its factorization.

130146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 130146656 is about 11408.1837292358. The cubic root of 130146656 is about 506.7701250718.

Adding to 130146656 its reverse (656641031), we get a palindrome (786787687).

The spelling of 130146656 in words is "one hundred thirty million, one hundred forty-six thousand, six hundred fifty-six".