1145667000 has 256 divisors, whose sum is σ = 3757178880. Its totient is φ = 290304000.

The previous prime is 1145666983. The next prime is 1145667023. The reversal of 1145667000 is 7665411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9020937 + ... + 9021063.

It is an arithmetic number, because the mean of its divisors is an integer number (14676480).

Almost surely, 2^1145667000 is an apocalyptic number.

1145667000 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 1145667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878589440).

1145667000 is an abundant number, since it is smaller than the sum of its proper divisors (2611511880).

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

1145667000 is a wasteful number, since it uses less digits than its factorization.

1145667000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1145667000 is about 33847.7030239867. The cubic root of 1145667000 is about 1046.3720597450.

The spelling of 1145667000 in words is "one billion, one hundred forty-five million, six hundred sixty-seven thousand".