130546080 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 29818368.

The previous prime is 130546061. The next prime is 130546103. The reversal of 130546080 is 80645031.

130546080 is a `hidden beast` number, since 1 + 3 + 0 + 54 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90001 + ... + 91439.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^130546080 is an apocalyptic number.

130546080 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 130546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

130546080 is an abundant number, since it is smaller than the sum of its proper divisors (396355680).

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

130546080 is a wasteful number, since it uses less digits than its factorization.

130546080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130546080 is about 11425.6763475954. The cubic root of 130546080 is about 507.2880265307.

The spelling of 130546080 in words is "one hundred thirty million, five hundred forty-six thousand, eighty".