1345252200 has 96 divisors (see below), whose sum is σ = 4175923200. Its totient is φ = 358248960.

The previous prime is 1345252159. The next prime is 1345252241. The reversal of 1345252200 is 22525431.

It is an interprime number because it is at equal distance from previous prime (1345252159) and next prime (1345252241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766524 + ... + 768276.

It is an arithmetic number, because the mean of its divisors is an integer number (43499200).

Almost surely, 2^1345252200 is an apocalyptic number.

1345252200 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 1345252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087961600).

1345252200 is an abundant number, since it is smaller than the sum of its proper divisors (2830671000).

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

1345252200 is a wasteful number, since it uses less digits than its factorization.

1345252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1345252200 is about 36677.6798611908. The cubic root of 1345252200 is about 1103.9122948074.

Adding to 1345252200 its reverse (22525431), we get a palindrome (1367777631).

The spelling of 1345252200 in words is "one billion, three hundred forty-five million, two hundred fifty-two thousand, two hundred".