130186656 has 96 divisors (see below), whose sum is σ = 387011520. Its totient is φ = 42561792.

The previous prime is 130186643. The next prime is 130186699. The reversal of 130186656 is 656681031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×130186656³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130186656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44371 + ... + 47213.

It is an arithmetic number, because the mean of its divisors is an integer number (4031370).

Almost surely, 2^130186656 is an apocalyptic number.

130186656 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 130186656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193505760).

130186656 is an abundant number, since it is smaller than the sum of its proper divisors (256824864).

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

130186656 is a wasteful number, since it uses less digits than its factorization.

130186656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130186656 is about 11409.9367219981. The cubic root of 130186656 is about 506.8220376071.

The spelling of 130186656 in words is "one hundred thirty million, one hundred eighty-six thousand, six hundred fifty-six".