130936624 has 120 divisors (see below), whose sum is σ = 329510160. Its totient is φ = 49900032.

The previous prime is 130936621. The next prime is 130936639. The reversal of 130936624 is 426639031.

It is a happy number.

It is a super-3 number, since 3×130936624³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130936624.

It is not an unprimeable number, because it can be changed into a prime (130936621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295347 + ... + 295789.

It is an arithmetic number, because the mean of its divisors is an integer number (2745918).

Almost surely, 2^130936624 is an apocalyptic number.

130936624 is a gapful number since it is divisible by the number (14) 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 130936624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

130936624 is an abundant number, since it is smaller than the sum of its proper divisors (198573536).

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

130936624 is a wasteful number, since it uses less digits than its factorization.

130936624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 130936624 is about 11442.7542139120. The cubic root of 130936624 is about 507.7933935704.

The spelling of 130936624 in words is "one hundred thirty million, nine hundred thirty-six thousand, six hundred twenty-four".