1289093136 has 160 divisors (see below), whose sum is σ = 3685264128. Its totient is φ = 386580480.

The previous prime is 1289093129. The next prime is 1289093137. The reversal of 1289093136 is 6313909821.

It is a super-2 number, since 2×1289093136² = 3323522226564628992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1289093137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772805 + ... + 1773531.

Almost surely, 2^1289093136 is an apocalyptic number.

1289093136 is a gapful number since it is divisible by the number (16) 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 1289093136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842632064).

1289093136 is an abundant number, since it is smaller than the sum of its proper divisors (2396170992).

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

1289093136 is a wasteful number, since it uses less digits than its factorization.

1289093136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1289093136 is about 35903.9431817732. The cubic root of 1289093136 is about 1088.3320830664.

The spelling of 1289093136 in words is "one billion, two hundred eighty-nine million, ninety-three thousand, one hundred thirty-six".