130271680 has 224 divisors, whose sum is σ = 410821632. Its totient is φ = 38092800.

The previous prime is 130271671. The next prime is 130271693. The reversal of 130271680 is 86172031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×130271680² = 33941421220044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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, 418725 + ... + 419035.

Almost surely, 2^130271680 is an apocalyptic number.

130271680 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 130271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

130271680 is an abundant number, since it is smaller than the sum of its proper divisors (280549952).

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

130271680 is a wasteful number, since it uses less digits than its factorization.

130271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 130271680 is about 11413.6619890375. The cubic root of 130271680 is about 506.9323475795.

The spelling of 130271680 in words is "one hundred thirty million, two hundred seventy-one thousand, six hundred eighty".