1282153600 has 576 divisors, whose sum is σ = 4314801960. Its totient is φ = 371589120.

The previous prime is 1282153577. The next prime is 1282153601. The reversal of 1282153600 is 63512821.

It can be written as a sum of positive squares in 12 ways, for example, as 223562304 + 1058591296 = 14952^2 + 32536^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1282153601) 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 71 ways as a sum of consecutive naturals, for example, 34652782 + ... + 34652818.

Almost surely, 2^1282153600 is an apocalyptic number.

1282153600 is a gapful number since it is divisible by the number (10) 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 1282153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157400980).

1282153600 is an abundant number, since it is smaller than the sum of its proper divisors (3032648360).

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

1282153600 is a wasteful number, since it uses less digits than its factorization.

1282153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1282153600 is about 35807.1724658622. The cubic root of 1282153600 is about 1086.3756397981.

The spelling of 1282153600 in words is "one billion, two hundred eighty-two million, one hundred fifty-three thousand, six hundred".