8152488900 has 108 divisors (see below), whose sum is σ = 25572207024. Its totient is φ = 2172408000.

The previous prime is 8152488893. The next prime is 8152488901. The reversal of 8152488900 is 98842518.

It is a happy number.

8152488900 is a `hidden beast` number, since 81 + 5 + 2 + 488 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8152488901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1735555 + ... + 1740245.

Almost surely, 2^8152488900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8152488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786103512).

8152488900 is an abundant number, since it is smaller than the sum of its proper divisors (17419718124).

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

8152488900 is a wasteful number, since it uses less digits than its factorization.

8152488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 8152488900 is about 90291.1341162575. The cubic root of 8152488900 is about 2012.6275134924.

The spelling of 8152488900 in words is "eight billion, one hundred fifty-two million, four hundred eighty-eight thousand, nine hundred".