13746000 has 160 divisors (see below), whose sum is σ = 46425600. Its totient is φ = 3494400.

The previous prime is 13745993. The next prime is 13746001. The reversal of 13746000 is 64731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746001) 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 31 ways as a sum of consecutive naturals, for example, 173961 + ... + 174039.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^13746000 is an apocalyptic number.

13746000 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 13746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

13746000 is an abundant number, since it is smaller than the sum of its proper divisors (32679600).

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

13746000 is a wasteful number, since it uses less digits than its factorization.

13746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13746000 is about 3707.5598444260. The cubic root of 13746000 is about 239.5477594735.

The spelling of 13746000 in words is "thirteen million, seven hundred forty-six thousand".