1002008145 has 32 divisors (see below), whose sum is σ = 1697097600. Its totient is φ = 503967744.

The previous prime is 1002008141. The next prime is 1002008167. The reversal of 1002008145 is 5418002001.

It is not a de Polignac number, because 1002008145 - 2² = 1002008141 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002008141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8080 + ... + 45489.

It is an arithmetic number, because the mean of its divisors is an integer number (53034300).

Almost surely, 2^1002008145 is an apocalyptic number.

1002008145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002008145 is a deficient number, since it is larger than the sum of its proper divisors (695089455).

1002008145 is a wasteful number, since it uses less digits than its factorization.

1002008145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53649.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1002008145 is about 31654.5122375942. The cubic root of 1002008145 is about 1000.6689340941.

It can be divided in two parts, 100200 and 8145, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 1002008145 in words is "one billion, two million, eight thousand, one hundred forty-five".