8250132000 has 192 divisors, whose sum is σ = 29484943488. Its totient is φ = 2000000000.

The previous prime is 8250131999. The next prime is 8250132047. The reversal of 8250132000 is 2310528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100750 + ... + 163250.

It is an arithmetic number, because the mean of its divisors is an integer number (153567414).

Almost surely, 2^8250132000 is an apocalyptic number.

8250132000 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 8250132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742471744).

8250132000 is an abundant number, since it is smaller than the sum of its proper divisors (21234811488).

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

8250132000 is a wasteful number, since it uses less digits than its factorization.

8250132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62540 (or 62522 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8250132000 is about 90830.2372561032. The cubic root of 8250132000 is about 2020.6307868937.

Adding to 8250132000 its reverse (2310528), we get a palindrome (8252442528).

It can be divided in two parts, 8250 and 132000, that multiplied together give a square (1089000000 = 33000²).

The spelling of 8250132000 in words is "eight billion, two hundred fifty million, one hundred thirty-two thousand".