13781152 has 144 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 4945920.

The previous prime is 13781149. The next prime is 13781153. The reversal of 13781152 is 25118731.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (1680) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 13781152.

It is not an unprimeable number, because it can be changed into a prime (13781153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293193 + ... + 293239.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^13781152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13781152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

13781152 is an abundant number, since it is smaller than the sum of its proper divisors (23450336).

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

13781152 is a wasteful number, since it uses less digits than its factorization.

13781152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 13781152 is about 3712.2974018793. The cubic root of 13781152 is about 239.7517804048.

Adding to 13781152 its reverse (25118731), we get a palindrome (38899883).

The spelling of 13781152 in words is "thirteen million, seven hundred eighty-one thousand, one hundred fifty-two".