1126145280 has 288 divisors, whose sum is σ = 4104221184. Its totient is φ = 260702208.

The previous prime is 1126145261. The next prime is 1126145281. The reversal of 1126145280 is 825416211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126145281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847977 + ... + 849303.

It is an arithmetic number, because the mean of its divisors is an integer number (14250768).

Almost surely, 2^1126145280 is an apocalyptic number.

1126145280 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 1126145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052110592).

1126145280 is an abundant number, since it is smaller than the sum of its proper divisors (2978075904).

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

1126145280 is a wasteful number, since it uses less digits than its factorization.

1126145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1126145280 is about 33558.0881457809. The cubic root of 1126145280 is about 1040.3947219630.

The spelling of 1126145280 in words is "one billion, one hundred twenty-six million, one hundred forty-five thousand, two hundred eighty".