130086432 has 192 divisors, whose sum is σ = 439568640. Its totient is φ = 36661248.

The previous prime is 130086419. The next prime is 130086443. The reversal of 130086432 is 234680031.

It is a happy number.

130086432 is a `hidden beast` number, since 13 + 0 + 0 + 8 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130086396 and 130086405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828498 + ... + 828654.

It is an arithmetic number, because the mean of its divisors is an integer number (2289420).

Almost surely, 2^130086432 is an apocalyptic number.

130086432 is a gapful number since it is divisible by the number (12) 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 130086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219784320).

130086432 is an abundant number, since it is smaller than the sum of its proper divisors (309482208).

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

130086432 is a wasteful number, since it uses less digits than its factorization.

130086432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130086432 is about 11405.5439151318. The cubic root of 130086432 is about 506.6919454916.

The spelling of 130086432 in words is "one hundred thirty million, eighty-six thousand, four hundred thirty-two".