130957344 has 192 divisors, whose sum is σ = 445132800. Its totient is φ = 36681984.

The previous prime is 130957303. The next prime is 130957349. The reversal of 130957344 is 443759031.

130957344 is a `hidden beast` number, since 1 + 309 + 5 + 7 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130957299 and 130957308.

It is not an unprimeable number, because it can be changed into a prime (130957349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356649 + ... + 357015.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 2^130957344 is an apocalyptic number.

130957344 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 130957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

130957344 is an abundant number, since it is smaller than the sum of its proper divisors (314175456).

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

130957344 is a wasteful number, since it uses less digits than its factorization.

130957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 130957344 is about 11443.6595545306. The cubic root of 130957344 is about 507.8201773274.

It can be divided in two parts, 1309 and 57344, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 130957344 in words is "one hundred thirty million, nine hundred fifty-seven thousand, three hundred forty-four".