1345689000 has 96 divisors (see below), whose sum is σ = 4548459240. Its totient is φ = 358848000.

The previous prime is 1345688963. The next prime is 1345689011. The reversal of 1345689000 is 9865431.

1345689000 is a `hidden beast` number, since 1 + 3 + 4 + 568 + 90 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 788823396 + 556865604 = 28086^2 + 23598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65761 + ... + 83760.

Almost surely, 2^1345689000 is an apocalyptic number.

1345689000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345689000 is an abundant number, since it is smaller than the sum of its proper divisors (3202770240).

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

1345689000 is a wasteful number, since it uses less digits than its factorization.

1345689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149548 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1345689000 is about 36683.6339530314. The cubic root of 1345689000 is about 1104.0317610585.

The spelling of 1345689000 in words is "one billion, three hundred forty-five million, six hundred eighty-nine thousand".