130393536 has 224 divisors, whose sum is σ = 450616320. Its totient is φ = 32292864.

The previous prime is 130393531. The next prime is 130393573. The reversal of 130393536 is 635393031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 130393497 and 130393506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130393531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296805 + ... + 297243.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^130393536 is an apocalyptic number.

130393536 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 130393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

130393536 is an abundant number, since it is smaller than the sum of its proper divisors (320222784).

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

130393536 is a wasteful number, since it uses less digits than its factorization.

130393536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 33.

The square root of 130393536 is about 11418.9989053332. The cubic root of 130393536 is about 507.0903596597.

The spelling of 130393536 in words is "one hundred thirty million, three hundred ninety-three thousand, five hundred thirty-six".