130381680 has 320 divisors, whose sum is σ = 494968320. Its totient is φ = 27955200.

The previous prime is 130381661. The next prime is 130381697. The reversal of 130381680 is 86183031.

130381680 = 2003² + 2004² + ... + 2034².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995215 + ... + 995345.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^130381680 is an apocalyptic number.

130381680 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 130381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

130381680 is an abundant number, since it is smaller than the sum of its proper divisors (364586640).

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

130381680 is a wasteful number, since it uses less digits than its factorization.

130381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 130381680 is about 11418.4797587069. The cubic root of 130381680 is about 507.0749901720.

The spelling of 130381680 in words is "one hundred thirty million, three hundred eighty-one thousand, six hundred eighty".