130004880 has 80 divisors (see below), whose sum is σ = 404111040. Its totient is φ = 34573824.

The previous prime is 130004869. The next prime is 130004887. The reversal of 130004880 is 88400031.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130004880.

It is not an unprimeable number, because it can be changed into a prime (130004887) 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, 175551 + ... + 176289.

It is an arithmetic number, because the mean of its divisors is an integer number (5051388).

Almost surely, 2^130004880 is an apocalyptic number.

130004880 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 130004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202055520).

130004880 is an abundant number, since it is smaller than the sum of its proper divisors (274106160).

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

130004880 is a wasteful number, since it uses less digits than its factorization.

130004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130004880 is about 11401.9682511398. The cubic root of 130004880 is about 506.5860405717.

The spelling of 130004880 in words is "one hundred thirty million, four thousand, eight hundred eighty".