130281984 has 180 divisors, whose sum is σ = 438148854. Its totient is φ = 37158912.

The previous prime is 130281967. The next prime is 130282001. The reversal of 130281984 is 489182031.

It is an interprime number because it is at equal distance from previous prime (130281967) and next prime (130282001).

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 59721984 = 8400^2 + 7728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225504 + ... + 226080.

Almost surely, 2^130281984 is an apocalyptic number.

130281984 is a gapful number since it is divisible by the number (14) 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 130281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219074427).

130281984 is an abundant number, since it is smaller than the sum of its proper divisors (307866870).

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

130281984 is an equidigital number, since it uses as much as digits as its factorization.

130281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 130281984 is about 11414.1133689832. The cubic root of 130281984 is about 506.9457127080.

The spelling of 130281984 in words is "one hundred thirty million, two hundred eighty-one thousand, nine hundred eighty-four".