130135936 has 64 divisors (see below), whose sum is σ = 301275360. Its totient is φ = 54835200.

The previous prime is 130135897. The next prime is 130135937. The reversal of 130135936 is 639531031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 130135898 and 130135907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130135937) 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 7 ways as a sum of consecutive naturals, for example, 53466 + ... + 55846.

Almost surely, 2^130135936 is an apocalyptic number.

130135936 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 130135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150637680).

130135936 is an abundant number, since it is smaller than the sum of its proper divisors (171139424).

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

130135936 is an equidigital number, since it uses as much as digits as its factorization.

130135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 130135936 is about 11407.7138814050. The cubic root of 130135936 is about 506.7562107050.

Adding to 130135936 its reverse (639531031), we get a palindrome (769666967).

The spelling of 130135936 in words is "one hundred thirty million, one hundred thirty-five thousand, nine hundred thirty-six".