130880000 has 100 divisors (see below), whose sum is σ = 327574830. Its totient is φ = 52224000.

The previous prime is 130879993. The next prime is 130880017. The reversal of 130880000 is 88031.

It can be written as a sum of positive squares in 5 ways, for example, as 15618304 + 115261696 = 3952^2 + 10736^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319796 + ... + 320204.

Almost surely, 2^130880000 is an apocalyptic number.

130880000 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 130880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163787415).

130880000 is an abundant number, since it is smaller than the sum of its proper divisors (196694830).

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

130880000 is an frugal number, since it uses more digits than its factorization.

130880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 130880000 is about 11440.2797168601. The cubic root of 130880000 is about 507.7201840077.

The spelling of 130880000 in words is "one hundred thirty million, eight hundred eighty thousand".