13185288 has 32 divisors (see below), whose sum is σ = 36626400. Its totient is φ = 4395024.

The previous prime is 13185257. The next prime is 13185301. The reversal of 13185288 is 88258131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30306 + ... + 30737.

It is an arithmetic number, because the mean of its divisors is an integer number (1144575).

Almost surely, 2^13185288 is an apocalyptic number.

13185288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13185288 is an abundant number, since it is smaller than the sum of its proper divisors (23441112).

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

13185288 is a wasteful number, since it uses less digits than its factorization.

13185288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61058 (or 61048 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13185288 is about 3631.1551880910. The cubic root of 13185288 is about 236.2453161077.

The spelling of 13185288 in words is "thirteen million, one hundred eighty-five thousand, two hundred eighty-eight".