130346496 has 200 divisors, whose sum is σ = 445618800. Its totient is φ = 37158912.

The previous prime is 130346483. The next prime is 130346501. The reversal of 130346496 is 694643031.

130346496 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 649 + 6 = 666.

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 130346496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290080 + ... + 290528.

It is an arithmetic number, because the mean of its divisors is an integer number (2228094).

Almost surely, 2^130346496 is an apocalyptic number.

130346496 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 130346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222809400).

130346496 is an abundant number, since it is smaller than the sum of its proper divisors (315272304).

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

130346496 is an frugal number, since it uses more digits than its factorization.

130346496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 130346496 is about 11416.9389943189. The cubic root of 130346496 is about 507.0293740203.

The spelling of 130346496 in words is "one hundred thirty million, three hundred forty-six thousand, four hundred ninety-six".