130345632 has 96 divisors (see below), whose sum is σ = 386769600. Its totient is φ = 42695424.

The previous prime is 130345609. The next prime is 130345637. The reversal of 130345632 is 236543031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 130345596 and 130345605.

It is not an unprimeable number, because it can be changed into a prime (130345637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49698 + ... + 52254.

It is an arithmetic number, because the mean of its divisors is an integer number (4028850).

Almost surely, 2^130345632 is an apocalyptic number.

130345632 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 130345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193384800).

130345632 is an abundant number, since it is smaller than the sum of its proper divisors (256423968).

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

130345632 is a wasteful number, since it uses less digits than its factorization.

130345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 130345632 is about 11416.9011557427. The cubic root of 130345632 is about 507.0282537387.

Adding to 130345632 its reverse (236543031), we get a palindrome (366888663).

The spelling of 130345632 in words is "one hundred thirty million, three hundred forty-five thousand, six hundred thirty-two".