130412832 has 144 divisors (see below), whose sum is σ = 383423040. Its totient is φ = 38776320.

The previous prime is 130412809. The next prime is 130412839. The reversal of 130412832 is 238214031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130412839) 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 23 ways as a sum of consecutive naturals, for example, 1196394 + ... + 1196502.

It is an arithmetic number, because the mean of its divisors is an integer number (2662660).

Almost surely, 2^130412832 is an apocalyptic number.

130412832 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 130412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191711520).

130412832 is an abundant number, since it is smaller than the sum of its proper divisors (253010208).

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

130412832 is a wasteful number, since it uses less digits than its factorization.

130412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130412832 is about 11419.8437817686. The cubic root of 130412832 is about 507.1153719756.

Adding to 130412832 its reverse (238214031), we get a palindrome (368626863).

The spelling of 130412832 in words is "one hundred thirty million, four hundred twelve thousand, eight hundred thirty-two".