1005145200 has 270 divisors, whose sum is σ = 3631565184. Its totient is φ = 267338880.

The previous prime is 1005145187. The next prime is 1005145223. The reversal of 1005145200 is 25415001.

1005145200 is a `hidden beast` number, since 100 + 514 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624209 + ... + 2624591.

Almost surely, 2^1005145200 is an apocalyptic number.

1005145200 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 1005145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815782592).

1005145200 is an abundant number, since it is smaller than the sum of its proper divisors (2626419984).

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

1005145200 is an frugal number, since it uses more digits than its factorization.

1005145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1005145200 is about 31704.0249810651. The cubic root of 1005145200 is about 1001.7121335922.

The spelling of 1005145200 in words is "one billion, five million, one hundred forty-five thousand, two hundred".