1306145600 has 42 divisors (see below), whose sum is σ = 3213938454. Its totient is φ = 522457600.

The previous prime is 1306145593. The next prime is 1306145623. The reversal of 1306145600 is 65416031.

It can be written as a sum of positive squares in 3 ways, for example, as 122235136 + 1183910464 = 11056^2 + 34408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1306145600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406571 + ... + 409770.

Almost surely, 2^1306145600 is an apocalyptic number.

1306145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306145600 is an abundant number, since it is smaller than the sum of its proper divisors (1907792854).

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

1306145600 is an equidigital number, since it uses as much as digits as its factorization.

1306145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816363 (or 816348 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1306145600 is about 36140.6364083423. The cubic root of 1306145600 is about 1093.1099913947.

The spelling of 1306145600 in words is "one billion, three hundred six million, one hundred forty-five thousand, six hundred".