13354000 has 80 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 4848000.

The previous prime is 13353983. The next prime is 13354013. The reversal of 13354000 is 45331.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21697 + ... + 22303.

Almost surely, 2^13354000 is an apocalyptic number.

13354000 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 13354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

13354000 is an abundant number, since it is smaller than the sum of its proper divisors (21929456).

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

13354000 is a wasteful number, since it uses less digits than its factorization.

13354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13354000 is about 3654.3125208444. The cubic root of 13354000 is about 237.2486722681.

Adding to 13354000 its reverse (45331), we get a palindrome (13399331).

It can be divided in two parts, 1335 and 4000, that added together give a palindrome (5335).

The spelling of 13354000 in words is "thirteen million, three hundred fifty-four thousand".