130853760 has 256 divisors, whose sum is σ = 467078400. Its totient is φ = 30965760.

The previous prime is 130853717. The next prime is 130853761. The reversal of 130853760 is 67358031.

It is a happy number.

It is a super-2 number, since 2×130853760² = 34245413012275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130853761) 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, 620055 + ... + 620265.

It is an arithmetic number, because the mean of its divisors is an integer number (1824525).

Almost surely, 2^130853760 is an apocalyptic number.

130853760 is a gapful number since it is divisible by the number (10) 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 130853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233539200).

130853760 is an abundant number, since it is smaller than the sum of its proper divisors (336224640).

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

130853760 is a wasteful number, since it uses less digits than its factorization.

130853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 130853760 is about 11439.1328342668. The cubic root of 130853760 is about 507.6862509696.

The spelling of 130853760 in words is "one hundred thirty million, eight hundred fifty-three thousand, seven hundred sixty".