1005145354200 has 192 divisors, whose sum is σ = 3388865911200. Its totient is φ = 244970496000.

The previous prime is 1005145354163. The next prime is 1005145354217. The reversal of 1005145354200 is 24535415001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149856 + ... + 1425744.

Almost surely, 2^{1005145354200} is an apocalyptic number.

1005145354200 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 1005145354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694432955600).

1005145354200 is an abundant number, since it is smaller than the sum of its proper divisors (2383720557000).

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

1005145354200 is a wasteful number, since it uses less digits than its factorization.

1005145354200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276022 (or 1276013 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1005145354200 in words is "one trillion, five billion, one hundred forty-five million, three hundred fifty-four thousand, two hundred".