1300134432 has 192 divisors, whose sum is σ = 3971358720. Its totient is φ = 369414144.

The previous prime is 1300134431. The next prime is 1300134457. The reversal of 1300134432 is 2344310031.

1300134432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1300134399 and 1300134408.

It is not an unprimeable number, because it can be changed into a prime (1300134431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712273 + ... + 714095.

It is an arithmetic number, because the mean of its divisors is an integer number (20684160).

Almost surely, 2^1300134432 is an apocalyptic number.

1300134432 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 1300134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

1300134432 is an abundant number, since it is smaller than the sum of its proper divisors (2671224288).

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

1300134432 is a wasteful number, since it uses less digits than its factorization.

1300134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1300134432 is about 36057.3769428670. The cubic root of 1300134432 is about 1091.4305017973.

Adding to 1300134432 its reverse (2344310031), we get a palindrome (3644444463).

The spelling of 1300134432 in words is "one billion, three hundred million, one hundred thirty-four thousand, four hundred thirty-two".