851148000 has 480 divisors, whose sum is σ = 3253618368. Its totient is φ = 217728000.

The previous prime is 851147971. The next prime is 851148007. The reversal of 851148000 is 841158.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851148007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11987965 + ... + 11988035.

Almost surely, 2^851148000 is an apocalyptic number.

851148000 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 851148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626809184).

851148000 is an abundant number, since it is smaller than the sum of its proper divisors (2402470368).

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

851148000 is a wasteful number, since it uses less digits than its factorization.

851148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 851148000 is about 29174.4408686782. The cubic root of 851148000 is about 947.6945017864.

Adding to 851148000 its reverse (841158), we get a palindrome (851989158).

The spelling of 851148000 in words is "eight hundred fifty-one million, one hundred forty-eight thousand".