1345506800 has 240 divisors, whose sum is σ = 3686549760. Its totient is φ = 467712000.

The previous prime is 1345506787. The next prime is 1345506839. The reversal of 1345506800 is 86055431.

It is a happy number.

1345506800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18431564 + ... + 18431636.

It is an arithmetic number, because the mean of its divisors is an integer number (15360624).

Almost surely, 2^1345506800 is an apocalyptic number.

1345506800 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 1345506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843274880).

1345506800 is an abundant number, since it is smaller than the sum of its proper divisors (2341042960).

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

1345506800 is a wasteful number, since it uses less digits than its factorization.

1345506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1345506800 is about 36681.1504726883. The cubic root of 1345506800 is about 1103.9819318964.

The spelling of 1345506800 in words is "one billion, three hundred forty-five million, five hundred six thousand, eight hundred".