1305285142900 has 36 divisors (see below), whose sum is σ = 2849429687328. Its totient is φ = 518987619040.

The previous prime is 1305285142897. The next prime is 1305285142907. The reversal of 1305285142900 is 92415825031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305285142907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39063694 + ... + 39097093.

It is an arithmetic number, because the mean of its divisors is an integer number (79150824648).

Almost surely, 2^{1305285142900} is an apocalyptic number.

1305285142900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305285142900 is an abundant number, since it is smaller than the sum of its proper divisors (1544144544428).

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

1305285142900 is a wasteful number, since it uses less digits than its factorization.

1305285142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78160968 (or 78160961 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 1305285142900 in words is "one trillion, three hundred five billion, two hundred eighty-five million, one hundred forty-two thousand, nine hundred".