13381760 has 128 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 4386816.

The previous prime is 13381751. The next prime is 13381763. The reversal of 13381760 is 6718331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) 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 (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129869 + ... + 129971.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 2^13381760 is an apocalyptic number.

13381760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13381760 is the 2987-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

13381760 is an abundant number, since it is smaller than the sum of its proper divisors (24807040).

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

13381760 is a wasteful number, since it uses less digits than its factorization.

13381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 13381760 is about 3658.1088010063. The cubic root of 13381760 is about 237.4129542505.

It can be divided in two parts, 13381 and 760, that added together give a palindrome (14141).

The spelling of 13381760 in words is "thirteen million, three hundred eighty-one thousand, seven hundred sixty".