130680480 has 384 divisors, whose sum is σ = 522547200. Its totient is φ = 26763264.

The previous prime is 130680463. The next prime is 130680497. The reversal of 130680480 is 84086031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130680463) and next prime (130680497).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 890 × 874 × 168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1468276 + ... + 1468364.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^130680480 is an apocalyptic number.

130680480 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 130680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

130680480 is an abundant number, since it is smaller than the sum of its proper divisors (391866720).

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

130680480 is a wasteful number, since it uses less digits than its factorization.

130680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 130680480 is about 11431.5563244906. The cubic root of 130680480 is about 507.4620548041.

It can be divided in two parts, 130680 and 480, that multiplied together give a square (62726400 = 7920²).

The spelling of 130680480 in words is "one hundred thirty million, six hundred eighty thousand, four hundred eighty".