1345905600 has 168 divisors, whose sum is σ = 4755581040. Its totient is φ = 331284480.

The previous prime is 1345905577. The next prime is 1345905619. The reversal of 1345905600 is 65095431.

It is a happy number.

It is a super-2 number, since 2×1345905600² = 3622923768222720000, which contains 22 as substring.

It is a congruent number.

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, 51616 + ... + 73184.

It is an arithmetic number, because the mean of its divisors is an integer number (28307030).

Almost surely, 2^1345905600 is an apocalyptic number.

1345905600 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 1345905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377790520).

1345905600 is an abundant number, since it is smaller than the sum of its proper divisors (3409675440).

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

1345905600 is a wasteful number, since it uses less digits than its factorization.

1345905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21607 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1345905600 is about 36686.5861044606. The cubic root of 1345905600 is about 1104.0909922901.

The spelling of 1345905600 in words is "one billion, three hundred forty-five million, nine hundred five thousand, six hundred".