130553280 has 336 divisors, whose sum is σ = 529218144. Its totient is φ = 29122560.

The previous prime is 130553249. The next prime is 130553303. The reversal of 130553280 is 82355031.

130553280 is a `hidden beast` number, since 1 + 30 + 553 + 2 + 80 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411682 + ... + 411998.

It is an arithmetic number, because the mean of its divisors is an integer number (1575054).

Almost surely, 2^130553280 is an apocalyptic number.

130553280 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 130553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264609072).

130553280 is an abundant number, since it is smaller than the sum of its proper divisors (398664864).

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

130553280 is a wasteful number, since it uses less digits than its factorization.

130553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 130553280 is about 11425.9914230670. The cubic root of 130553280 is about 507.2973525011.

The spelling of 130553280 in words is "one hundred thirty million, five hundred fifty-three thousand, two hundred eighty".