135366768 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 43029504.

The previous prime is 135366761. The next prime is 135366769. The reversal of 135366768 is 867663531.

Its product of digits (544320) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135366761) 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, 1197880 + ... + 1197992.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^135366768 is an apocalyptic number.

135366768 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 135366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

135366768 is an abundant number, since it is smaller than the sum of its proper divisors (271750032).

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

135366768 is a wasteful number, since it uses less digits than its factorization.

135366768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 135366768 is about 11634.7225149550. The cubic root of 135366768 is about 513.4569301908.

It can be divided in two parts, 1353 and 66768, that added together give a square (68121 = 261²).

The spelling of 135366768 in words is "one hundred thirty-five million, three hundred sixty-six thousand, seven hundred sixty-eight".