1282566144 has 96 divisors (see below), whose sum is σ = 3439800000. Its totient is φ = 424968192.

The previous prime is 1282566097. The next prime is 1282566149. The reversal of 1282566144 is 4416652821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1282566149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222132 + ... + 1223180.

It is an arithmetic number, because the mean of its divisors is an integer number (35831250).

Almost surely, 2^1282566144 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 1282566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719900000).

1282566144 is an abundant number, since it is smaller than the sum of its proper divisors (2157233856).

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

1282566144 is a wasteful number, since it uses less digits than its factorization.

1282566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1253 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 1282566144 is about 35812.9326361302. The cubic root of 1282566144 is about 1086.4921442201.

The spelling of 1282566144 in words is "one billion, two hundred eighty-two million, five hundred sixty-six thousand, one hundred forty-four".