1129417146 has 144 divisors (see below), whose sum is σ = 2930572008. Its totient is φ = 312238080.

The previous prime is 1129417123. The next prime is 1129417153. The reversal of 1129417146 is 6417149211.

It can be written as a sum of positive squares in 4 ways, for example, as 370139121 + 759278025 = 19239^2 + 27555^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1129417146.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3199306 + ... + 3199658.

Almost surely, 2^1129417146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129417146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465286004).

1129417146 is an abundant number, since it is smaller than the sum of its proper divisors (1801154862).

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

1129417146 is a wasteful number, since it uses less digits than its factorization.

1129417146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1129417146 is about 33606.8020793410. The cubic root of 1129417146 is about 1041.4013241110.

The spelling of 1129417146 in words is "one billion, one hundred twenty-nine million, four hundred seventeen thousand, one hundred forty-six".