130824134736 has 40 divisors (see below), whose sum is σ = 338317096320. Its totient is φ = 43562270976.

The previous prime is 130824134731. The next prime is 130824134741. The reversal of 130824134736 is 637431428031.

It is an interprime number because it is at equal distance from previous prime (130824134731) and next prime (130824134741).

It is a super-2 number, since 2×130824134736² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130824134731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1384216 + ... + 1475703.

It is an arithmetic number, because the mean of its divisors is an integer number (8457927408).

Almost surely, 2^130824134736 is an apocalyptic number.

130824134736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130824134736 is an abundant number, since it is smaller than the sum of its proper divisors (207492961584).

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

130824134736 is a wasteful number, since it uses less digits than its factorization.

130824134736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860883 (or 2860877 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 130824134736 in words is "one hundred thirty billion, eight hundred twenty-four million, one hundred thirty-four thousand, seven hundred thirty-six".