13458000 has 80 divisors (see below), whose sum is σ = 43407936. Its totient is φ = 3587200.

The previous prime is 13457993. The next prime is 13458007. The reversal of 13458000 is 85431.

It is an interprime number because it is at equal distance from previous prime (13457993) and next prime (13458007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13458000² = 362235528000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13458007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4879 + ... + 7121.

Almost surely, 2^13458000 is an apocalyptic number.

13458000 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 13458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703968).

13458000 is an abundant number, since it is smaller than the sum of its proper divisors (29949936).

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

13458000 is a wasteful number, since it uses less digits than its factorization.

13458000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13458000 is about 3668.5146858095. The cubic root of 13458000 is about 237.8629722246.

The spelling of 13458000 in words is "thirteen million, four hundred fifty-eight thousand".