1289345148 has 192 divisors, whose sum is σ = 4150558720. Its totient is φ = 337042944.

The previous prime is 1289345147. The next prime is 1289345171. The reversal of 1289345148 is 8415439821.

1289345148 is a `hidden beast` number, since 128 + 9 + 3 + 4 + 514 + 8 = 666.

It is a super-2 number, since 2×1289345148² = 3324821821342283808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289345143) 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 63 ways as a sum of consecutive naturals, for example, 1247640 + ... + 1248672.

Almost surely, 2^1289345148 is an apocalyptic number.

1289345148 is a gapful number since it is divisible by the number (18) 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 1289345148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075279360).

1289345148 is an abundant number, since it is smaller than the sum of its proper divisors (2861213572).

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

1289345148 is a wasteful number, since it uses less digits than its factorization.

1289345148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1289345148 is about 35907.4525412205. The cubic root of 1289345148 is about 1088.4029998130.

The spelling of 1289345148 in words is "one billion, two hundred eighty-nine million, three hundred forty-five thousand, one hundred forty-eight".