1145890000 has 200 divisors, whose sum is σ = 3017659040. Its totient is φ = 419904000.

The previous prime is 1145889977. The next prime is 1145890001. The reversal of 1145890000 is 985411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145890001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7029919 + ... + 7030081.

Almost surely, 2^1145890000 is an apocalyptic number.

1145890000 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 1145890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508829520).

1145890000 is an abundant number, since it is smaller than the sum of its proper divisors (1871769040).

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

1145890000 is a wasteful number, since it uses less digits than its factorization.

1145890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1145890000 is about 33850.9970311068. The cubic root of 1145890000 is about 1046.4399462052.

The spelling of 1145890000 in words is "one billion, one hundred forty-five million, eight hundred ninety thousand".