135226368 has 176 divisors, whose sum is σ = 412020160. Its totient is φ = 43794432.

The previous prime is 135226349. The next prime is 135226369. The reversal of 135226368 is 863622531.

It is a happy number.

135226368 is a `hidden beast` number, since 13 + 5 + 2 + 2 + 636 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135226369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852380 + ... + 1852452.

Almost surely, 2^135226368 is an apocalyptic number.

135226368 is a gapful number since it is divisible by the number (18) 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 135226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206010080).

135226368 is an abundant number, since it is smaller than the sum of its proper divisors (276793792).

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

135226368 is an equidigital number, since it uses as much as digits as its factorization.

135226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 135226368 is about 11628.6872861901. The cubic root of 135226368 is about 513.2793526566.

Adding to 135226368 its reverse (863622531), we get a palindrome (998848899).

The spelling of 135226368 in words is "one hundred thirty-five million, two hundred twenty-six thousand, three hundred sixty-eight".