130343461632 has 144 divisors (see below), whose sum is σ = 386506337280. Its totient is φ = 43328590848.

The previous prime is 130343461607. The next prime is 130343461663. The reversal of 130343461632 is 236164343031.

130343461632 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 3 + 4 + 616 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130343461632² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511013 + ... + 2562395.

Almost surely, 2^130343461632 is an apocalyptic number.

130343461632 is a gapful number since it is divisible by the number (12) 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 130343461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193253168640).

130343461632 is an abundant number, since it is smaller than the sum of its proper divisors (256162875648).

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

130343461632 is an equidigital number, since it uses as much as digits as its factorization.

130343461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51775 (or 51755 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 130343461632 in words is "one hundred thirty billion, three hundred forty-three million, four hundred sixty-one thousand, six hundred thirty-two".