1300144020 has 192 divisors, whose sum is σ = 4431200256. Its totient is φ = 278046720.

The previous prime is 1300144019. The next prime is 1300144031. The reversal of 1300144020 is 204410031.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 1506109 + ... + 1506971.

It is an arithmetic number, because the mean of its divisors is an integer number (23079168).

Almost surely, 2^1300144020 is an apocalyptic number.

1300144020 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 1300144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215600128).

1300144020 is an abundant number, since it is smaller than the sum of its proper divisors (3131056236).

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

1300144020 is a wasteful number, since it uses less digits than its factorization.

1300144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1300144020 is about 36057.5098973848. The cubic root of 1300144020 is about 1091.4331847531.

Adding to 1300144020 its reverse (204410031), we get a palindrome (1504554051).

The spelling of 1300144020 in words is "one billion, three hundred million, one hundred forty-four thousand, twenty".