1075144000 has 224 divisors, whose sum is σ = 3096377856. Its totient is φ = 362188800.

The previous prime is 1075143997. The next prime is 1075144019. The reversal of 1075144000 is 4415701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4087869 + ... + 4088131.

Almost surely, 2^1075144000 is an apocalyptic number.

1075144000 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 1075144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548188928).

1075144000 is an abundant number, since it is smaller than the sum of its proper divisors (2021233856).

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

1075144000 is an equidigital number, since it uses as much as digits as its factorization.

1075144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1075144000 is about 32789.3885273879. The cubic root of 1075144000 is about 1024.4455458595.

Adding to 1075144000 its reverse (4415701), we get a palindrome (1079559701).

The spelling of 1075144000 in words is "one billion, seventy-five million, one hundred forty-four thousand".