1147146000 has 640 divisors, whose sum is σ = 4991680512. Its totient is φ = 218880000.

The previous prime is 1147145983. The next prime is 1147146001. The reversal of 1147146000 is 6417411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1147146001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6005905 + ... + 6006095.

Almost surely, 2^1147146000 is an apocalyptic number.

1147146000 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 1147146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495840256).

1147146000 is an abundant number, since it is smaller than the sum of its proper divisors (3844534512).

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

1147146000 is a wasteful number, since it uses less digits than its factorization.

1147146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1147146000 is about 33869.5438410381. The cubic root of 1147146000 is about 1046.8221378223.

The spelling of 1147146000 in words is "one billion, one hundred forty-seven million, one hundred forty-six thousand".