1345952200 has 48 divisors (see below), whose sum is σ = 3146712660. Its totient is φ = 535392000.

The previous prime is 1345952197. The next prime is 1345952233. The reversal of 1345952200 is 22595431.

It can be written as a sum of positive squares in 6 ways, for example, as 55562116 + 1290390084 = 7454^2 + 35922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17610 + ... + 54790.

Almost surely, 2^1345952200 is an apocalyptic number.

1345952200 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 1345952200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573356330).

1345952200 is an abundant number, since it is smaller than the sum of its proper divisors (1800760460).

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

1345952200 is a wasteful number, since it uses less digits than its factorization.

1345952200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37378 (or 37369 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1345952200 is about 36687.2212084808. The cubic root of 1345952200 is about 1104.1037346515.

The spelling of 1345952200 in words is "one billion, three hundred forty-five million, nine hundred fifty-two thousand, two hundred".