13773144 has 128 divisors (see below), whose sum is σ = 44582400. Its totient is φ = 3440640.

The previous prime is 13773107. The next prime is 13773169. The reversal of 13773144 is 44137731.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53464 + ... + 53720.

It is an arithmetic number, because the mean of its divisors is an integer number (348300).

Almost surely, 2^13773144 is an apocalyptic number.

13773144 is a gapful number since it is divisible by the number (14) 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 13773144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291200).

13773144 is an abundant number, since it is smaller than the sum of its proper divisors (30809256).

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

13773144 is a wasteful number, since it uses less digits than its factorization.

13773144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 13773144 is about 3711.2186677694. The cubic root of 13773144 is about 239.7053328060.

The spelling of 13773144 in words is "thirteen million, seven hundred seventy-three thousand, one hundred forty-four".