1306135400 has 96 divisors (see below), whose sum is σ = 3149798400. Its totient is φ = 503174400.

The previous prime is 1306135351. The next prime is 1306135403. The reversal of 1306135400 is 45316031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1306135403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816241 + ... + 1816959.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^1306135400 is an apocalyptic number.

1306135400 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 1306135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1306135400 is an abundant number, since it is smaller than the sum of its proper divisors (1843663000).

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

1306135400 is a wasteful number, since it uses less digits than its factorization.

1306135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1306135400 is about 36140.4952926769. The cubic root of 1306135400 is about 1093.1071459358.

The spelling of 1306135400 in words is "one billion, three hundred six million, one hundred thirty-five thousand, four hundred".