8154090000 has 675 divisors, whose sum is σ = 33961084443. Its totient is φ = 1820448000.

The previous prime is 8154089987. The next prime is 8154090023. The reversal of 8154090000 is 904518.

The square root of 8154090000 is 90300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 639280656 + 7514809344 = 25284^2 + 86688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 189629979 + ... + 189630021.

Almost surely, 2^8154090000 is an apocalyptic number.

8154090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8154090000 is the 90300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8154090000

8154090000 is an abundant number, since it is smaller than the sum of its proper divisors (25806994443).

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

8154090000 is a wasteful number, since it uses less digits than its factorization.

8154090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 8154090000 is about 2012.7592608651.

Adding to 8154090000 its reverse (904518), we get a palindrome (8154994518).

The spelling of 8154090000 in words is "eight billion, one hundred fifty-four million, ninety thousand".