8145685200 has 120 divisors (see below), whose sum is σ = 26139630528. Its totient is φ = 2168330240.

The previous prime is 8145685189. The next prime is 8145685243. The reversal of 8145685200 is 25865418.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705877 + ... + 717323.

Almost surely, 2^8145685200 is an apocalyptic number.

8145685200 is a gapful number since it is divisible by the number (80) 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 8145685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069815264).

8145685200 is an abundant number, since it is smaller than the sum of its proper divisors (17993945328).

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

8145685200 is a wasteful number, since it uses less digits than its factorization.

8145685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12061 (or 12050 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 8145685200 is about 90253.4497955618. The cubic root of 8145685200 is about 2012.0674749151.

The spelling of 8145685200 in words is "eight billion, one hundred forty-five million, six hundred eighty-five thousand, two hundred".