8134992000 has 320 divisors, whose sum is σ = 30218399640. Its totient is φ = 2168985600.

The previous prime is 8134991993. The next prime is 8134992001. The reversal of 8134992000 is 2994318.

It can be written as a sum of positive squares in 4 ways, for example, as 4907843136 + 3227148864 = 70056^2 + 56808^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8134992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1292862 + ... + 1299138.

Almost surely, 2^8134992000 is an apocalyptic number.

8134992000 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 8134992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109199820).

8134992000 is an abundant number, since it is smaller than the sum of its proper divisors (22083407640).

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

8134992000 is an equidigital number, since it uses as much as digits as its factorization.

8134992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8134992000 is about 90194.1905002756. The cubic root of 8134992000 is about 2011.1866461483.

The spelling of 8134992000 in words is "eight billion, one hundred thirty-four million, nine hundred ninety-two thousand".