8145369600 has 240 divisors, whose sum is σ = 27539061792. Its totient is φ = 2121154560.

The previous prime is 8145369599. The next prime is 8145369611. The reversal of 8145369600 is 69635418.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1648734 + ... + 1653666.

Almost surely, 2^8145369600 is an apocalyptic number.

8145369600 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 8145369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769530896).

8145369600 is an abundant number, since it is smaller than the sum of its proper divisors (19393692192).

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

8145369600 is a wasteful number, since it uses less digits than its factorization.

8145369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 8145369600 is about 90251.7013690047. The cubic root of 8145369600 is about 2012.0414891046.

The spelling of 8145369600 in words is "eight billion, one hundred forty-five million, three hundred sixty-nine thousand, six hundred".