130825680 has 80 divisors (see below), whose sum is σ = 406682304. Its totient is φ = 34790400.

The previous prime is 130825661. The next prime is 130825687. The reversal of 130825680 is 86528031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130825687) 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, 143787 + ... + 144693.

Almost surely, 2^130825680 is an apocalyptic number.

130825680 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 130825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203341152).

130825680 is an abundant number, since it is smaller than the sum of its proper divisors (275856624).

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

130825680 is a wasteful number, since it uses less digits than its factorization.

130825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 130825680 is about 11437.9054026513. The cubic root of 130825680 is about 507.6499334557.

The spelling of 130825680 in words is "one hundred thirty million, eight hundred twenty-five thousand, six hundred eighty".