1345539247800 has 192 divisors, whose sum is σ = 4559647628160. Its totient is φ = 325526208000.

The previous prime is 1345539247777. The next prime is 1345539247849. The reversal of 1345539247800 is 87429355431.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3032994 + ... + 3448206.

It is an arithmetic number, because the mean of its divisors is an integer number (23748164730).

Almost surely, 2^{1345539247800} is an apocalyptic number.

1345539247800 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 1345539247800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279823814080).

1345539247800 is an abundant number, since it is smaller than the sum of its proper divisors (3214108380360).

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

1345539247800 is a wasteful number, since it uses less digits than its factorization.

1345539247800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415734 (or 415725 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 1345539247800 in words is "one trillion, three hundred forty-five billion, five hundred thirty-nine million, two hundred forty-seven thousand, eight hundred".