8132645200 has 60 divisors (see below), whose sum is σ = 20015273628. Its totient is φ = 3173708800.

The previous prime is 8132645179. The next prime is 8132645201. The reversal of 8132645200 is 25462318.

It can be written as a sum of positive squares in 6 ways, for example, as 1457101584 + 6675543616 = 38172^2 + 81704^2 .

It is a super-2 number, since 2×8132645200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132645201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231547 + ... + 264346.

Almost surely, 2^8132645200 is an apocalyptic number.

8132645200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8132645200 is an abundant number, since it is smaller than the sum of its proper divisors (11882628428).

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

8132645200 is a wasteful number, since it uses less digits than its factorization.

8132645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495952 (or 495941 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 8132645200 is about 90181.1798547790. The cubic root of 8132645200 is about 2010.9932303974.

The spelling of 8132645200 in words is "eight billion, one hundred thirty-two million, six hundred forty-five thousand, two hundred".