816000144 has 80 divisors (see below), whose sum is σ = 2295537600. Its totient is φ = 248790528.

The previous prime is 816000131. The next prime is 816000151. The reversal of 816000144 is 441000618.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11022 + ... + 41874.

It is an arithmetic number, because the mean of its divisors is an integer number (28694220).

Almost surely, 2^816000144 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 816000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147768800).

816000144 is an abundant number, since it is smaller than the sum of its proper divisors (1479537456).

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

816000144 is a wasteful number, since it uses less digits than its factorization.

816000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30912 (or 30906 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 816000144 is about 28565.7162346754. The cubic root of 816000144 is about 934.4658006396.

The spelling of 816000144 in words is "eight hundred sixteen million, one hundred forty-four", and thus it is an aban number.