2005125000144 has 80 divisors (see below), whose sum is σ = 5939176201728. Its totient is φ = 571026727296.

The previous prime is 2005125000091. The next prime is 2005125000163. The reversal of 2005125000144 is 4410005215002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9616122 + ... + 9822425.

Almost surely, 2^{2005125000144} is an apocalyptic number.

2005125000144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005125000144 is an abundant number, since it is smaller than the sum of its proper divisors (3934051201584).

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

2005125000144 is a wasteful number, since it uses less digits than its factorization.

2005125000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19438872 (or 19438866 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 2005125000144 in words is "two trillion, five billion, one hundred twenty-five million, one hundred forty-four", and thus it is an aban number.