13358000 has 40 divisors (see below), whose sum is σ = 32304480. Its totient is φ = 5342400.

The previous prime is 13357997. The next prime is 13358003. The reversal of 13358000 is 85331.

It is an interprime number because it is at equal distance from previous prime (13357997) and next prime (13358003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13358003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1340 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (807612).

Almost surely, 2^13358000 is an apocalyptic number.

13358000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13358000 is an abundant number, since it is smaller than the sum of its proper divisors (18946480).

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

13358000 is an equidigital number, since it uses as much as digits as its factorization.

13358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13358000 is about 3654.8597784320. The cubic root of 13358000 is about 237.2723580539.

The spelling of 13358000 in words is "thirteen million, three hundred fifty-eight thousand".