1345361920 has 144 divisors (see below), whose sum is σ = 3716359920. Its totient is φ = 457900032.

The previous prime is 1345361917. The next prime is 1345361933. The reversal of 1345361920 is 291635431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9820092 + ... + 9820228.

It is an arithmetic number, because the mean of its divisors is an integer number (25808055).

Almost surely, 2^1345361920 is an apocalyptic number.

1345361920 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 1345361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858179960).

1345361920 is an abundant number, since it is smaller than the sum of its proper divisors (2370998000).

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

1345361920 is an frugal number, since it uses more digits than its factorization.

1345361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 1345361920 is about 36679.1755632539. The cubic root of 1345361920 is about 1103.9423060237.

The spelling of 1345361920 in words is "one billion, three hundred forty-five million, three hundred sixty-one thousand, nine hundred twenty".