134268288 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 32901120.

The previous prime is 134268287. The next prime is 134268311. The reversal of 134268288 is 882862431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134268287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561673 + ... + 561911.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^134268288 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 134268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

134268288 is an abundant number, since it is smaller than the sum of its proper divisors (335747712).

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

134268288 is a wasteful number, since it uses less digits than its factorization.

134268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 134268288 is about 11587.4193848328. The cubic root of 134268288 is about 512.0642822935.

The spelling of 134268288 in words is "one hundred thirty-four million, two hundred sixty-eight thousand, two hundred eighty-eight".