130389760 has 144 divisors (see below), whose sum is σ = 336720384. Its totient is φ = 48254976.

The previous prime is 130389733. The next prime is 130389767. The reversal of 130389760 is 67983031.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130389767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265869 + ... + 1265971.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^130389760 is an apocalyptic number.

130389760 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 130389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168360192).

130389760 is an abundant number, since it is smaller than the sum of its proper divisors (206330624).

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

130389760 is a wasteful number, since it uses less digits than its factorization.

130389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 130389760 is about 11418.8335656493. The cubic root of 130389760 is about 507.0854647553.

The spelling of 130389760 in words is "one hundred thirty million, three hundred eighty-nine thousand, seven hundred sixty".