1345209120 has 336 divisors, whose sum is σ = 5023952640. Its totient is φ = 339282432.

The previous prime is 1345209083. The next prime is 1345209161. The reversal of 1345209120 is 219025431.

1345209120 is a `hidden beast` number, since 1 + 34 + 520 + 91 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2215857 + ... + 2216463.

It is an arithmetic number, because the mean of its divisors is an integer number (14952240).

Almost surely, 2^1345209120 is an apocalyptic number.

1345209120 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 1345209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511976320).

1345209120 is an abundant number, since it is smaller than the sum of its proper divisors (3678743520).

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

1345209120 is an equidigital number, since it uses as much as digits as its factorization.

1345209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1345209120 is about 36677.0925783383. The cubic root of 1345209120 is about 1103.9005108834.

The spelling of 1345209120 in words is "one billion, three hundred forty-five million, two hundred nine thousand, one hundred twenty".