1345325200 has 120 divisors (see below), whose sum is σ = 3390408000. Its totient is φ = 512033280.

The previous prime is 1345325147. The next prime is 1345325203. The reversal of 1345325200 is 25235431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345325203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3210591 + ... + 3211009.

It is an arithmetic number, because the mean of its divisors is an integer number (28253400).

Almost surely, 2^1345325200 is an apocalyptic number.

1345325200 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 1345325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695204000).

1345325200 is an abundant number, since it is smaller than the sum of its proper divisors (2045082800).

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

1345325200 is a wasteful number, since it uses less digits than its factorization.

1345325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1345325200 is about 36678.6750033313. The cubic root of 1345325200 is about 1103.9322623496.

The spelling of 1345325200 in words is "one billion, three hundred forty-five million, three hundred twenty-five thousand, two hundred".