1345561200 has 240 divisors, whose sum is σ = 4944921600. Its totient is φ = 347155200.

The previous prime is 1345561199. The next prime is 1345561207. The reversal of 1345561200 is 21655431.

1345561200 is a `hidden beast` number, since 1 + 3 + 45 + 5 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345561207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332791 + ... + 336809.

It is an arithmetic number, because the mean of its divisors is an integer number (20603840).

Almost surely, 2^1345561200 is an apocalyptic number.

1345561200 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 1345561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472460800).

1345561200 is an abundant number, since it is smaller than the sum of its proper divisors (3599360400).

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

1345561200 is a wasteful number, since it uses less digits than its factorization.

1345561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1345561200 is about 36681.8919904631. The cubic root of 1345561200 is about 1103.9968100097.

The spelling of 1345561200 in words is "one billion, three hundred forty-five million, five hundred sixty-one thousand, two hundred".