1141785000 has 120 divisors (see below), whose sum is σ = 3864333330. Its totient is φ = 304464000.

The previous prime is 1141784983. The next prime is 1141785017. The reversal of 1141785000 is 5871411.

It is an interprime number because it is at equal distance from previous prime (1141784983) and next prime (1141785017).

It can be written as a sum of positive squares in 5 ways, for example, as 61873956 + 1079911044 = 7866^2 + 32862^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32314 + ... + 57686.

Almost surely, 2^1141785000 is an apocalyptic number.

1141785000 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 1141785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932166665).

1141785000 is an abundant number, since it is smaller than the sum of its proper divisors (2722548330).

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

1141785000 is a wasteful number, since it uses less digits than its factorization.

1141785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25405 (or 25383 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1141785000 is about 33790.3092616803. The cubic root of 1141785000 is about 1045.1888733188.

The spelling of 1141785000 in words is "one billion, one hundred forty-one million, seven hundred eighty-five thousand".