13454000 has 120 divisors (see below), whose sum is σ = 38417184. Its totient is φ = 4464000.

The previous prime is 13453991. The next prime is 13454009. The reversal of 13454000 is 45431.

It is an interprime number because it is at equal distance from previous prime (13453991) and next prime (13454009).

It is a self number, because there is not a number n which added to its sum of digits gives 13454000.

It is not an unprimeable number, because it can be changed into a prime (13454009) 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 23 ways as a sum of consecutive naturals, for example, 433985 + ... + 434015.

Almost surely, 2^13454000 is an apocalyptic number.

13454000 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 13454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208592).

13454000 is an abundant number, since it is smaller than the sum of its proper divisors (24963184).

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

13454000 is an equidigital number, since it uses as much as digits as its factorization.

13454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13454000 is about 3667.9694655218. The cubic root of 13454000 is about 237.8394039339.

Adding to 13454000 its reverse (45431), we get a palindrome (13499431).

The spelling of 13454000 in words is "thirteen million, four hundred fifty-four thousand".