1146289144 has 192 divisors, whose sum is σ = 2979093600. Its totient is φ = 412251840.

The previous prime is 1146289129. The next prime is 1146289147. The reversal of 1146289144 is 4419826411.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a junction number, because it is equal to n+sod(n) for n = 1146289097 and 1146289106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146289147) 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 47 ways as a sum of consecutive naturals, for example, 88176082 + ... + 88176094.

Almost surely, 2^1146289144 is an apocalyptic number.

1146289144 is a gapful number since it is divisible by the number (14) 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 1146289144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489546800).

1146289144 is an abundant number, since it is smaller than the sum of its proper divisors (1832804456).

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

1146289144 is an equidigital number, since it uses as much as digits as its factorization.

1146289144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 1146289144 is about 33856.8921196261. The cubic root of 1146289144 is about 1046.5614330666.

The spelling of 1146289144 in words is "one billion, one hundred forty-six million, two hundred eighty-nine thousand, one hundred forty-four".