1345320900 has 432 divisors, whose sum is σ = 5459650560. Its totient is φ = 279158400.

The previous prime is 1345320881. The next prime is 1345320929. The reversal of 1345320900 is 90235431.

1345320900 is a `hidden beast` number, since 1 + 3 + 453 + 209 + 0 + 0 = 666.

1345320900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1870741 + ... + 1871459.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2^1345320900 is an apocalyptic number.

1345320900 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 1345320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

1345320900 is an abundant number, since it is smaller than the sum of its proper divisors (4114329660).

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

1345320900 is a wasteful number, since it uses less digits than its factorization.

1345320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1345320900 is about 36678.6163861179. The cubic root of 1345320900 is about 1103.9310861993.

The spelling of 1345320900 in words is "one billion, three hundred forty-five million, three hundred twenty thousand, nine hundred".