1300146100 has 72 divisors (see below), whose sum is σ = 3083740128. Its totient is φ = 471868800.

The previous prime is 1300146083. The next prime is 1300146149. The reversal of 1300146100 is 16410031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875959 + ... + 877441.

It is an arithmetic number, because the mean of its divisors is an integer number (42829724).

Almost surely, 2^1300146100 is an apocalyptic number.

1300146100 is a gapful number since it is divisible by the number (10) 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 1300146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541870064).

1300146100 is an abundant number, since it is smaller than the sum of its proper divisors (1783594028).

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

1300146100 is a wasteful number, since it uses less digits than its factorization.

1300146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1300146100 is about 36057.5387401858. The cubic root of 1300146100 is about 1091.4337667860.

Adding to 1300146100 its reverse (16410031), we get a palindrome (1316556131).

The spelling of 1300146100 in words is "one billion, three hundred million, one hundred forty-six thousand, one hundred".