1005145213141 has 8 divisors (see below), whose sum is σ = 1060560778400. Its totient is φ = 949980966480.

The previous prime is 1005145213109. The next prime is 1005145213169. The reversal of 1005145213141 is 1413125415001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005145213141 - 2⁵ = 1005145213109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005145213841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62821431 + ... + 62837428.

It is an arithmetic number, because the mean of its divisors is an integer number (132570097300).

Almost surely, 2^{1005145213141} is an apocalyptic number.

It is an amenable number.

1005145213141 is a deficient number, since it is larger than the sum of its proper divisors (55415565259).

1005145213141 is a wasteful number, since it uses less digits than its factorization.

1005145213141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125659299.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 1005145213141 in words is "one trillion, five billion, one hundred forty-five million, two hundred thirteen thousand, one hundred forty-one".