13554000 has 160 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3600000.

The previous prime is 13553989. The next prime is 13554053. The reversal of 13554000 is 45531.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53875 + ... + 54125.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^13554000 is an apocalyptic number.

13554000 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 13554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13554000 is an abundant number, since it is smaller than the sum of its proper divisors (35192880).

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

13554000 is a wasteful number, since it uses less digits than its factorization.

13554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13554000 is about 3681.5757495942. The cubic root of 13554000 is about 238.4272156369.

Adding to 13554000 its reverse (45531), we get a palindrome (13599531).

It can be divided in two parts, 135 and 54000, that multiplied together give a square (7290000 = 2700²).

The spelling of 13554000 in words is "thirteen million, five hundred fifty-four thousand".