1345716000 has 288 divisors, whose sum is σ = 4944466800. Its totient is φ = 346214400.

The previous prime is 1345715963. The next prime is 1345716007. The reversal of 1345716000 is 6175431.

1345716000 is a `hidden beast` number, since 1 + 3 + 4 + 57 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 167029776 + 1178686224 = 12924^2 + 34332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345716007) 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, 1043356 + ... + 1044644.

Almost surely, 2^1345716000 is an apocalyptic number.

1345716000 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 1345716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472233400).

1345716000 is an abundant number, since it is smaller than the sum of its proper divisors (3598750800).

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

1345716000 is a wasteful number, since it uses less digits than its factorization.

1345716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1345716000 is about 36684.0019627085. The cubic root of 1345716000 is about 1104.0391447998.

The spelling of 1345716000 in words is "one billion, three hundred forty-five million, seven hundred sixteen thousand".