135132768 has 72 divisors (see below), whose sum is σ = 385414848. Its totient is φ = 44911872.

The previous prime is 135132763. The next prime is 135132773. The reversal of 135132768 is 867231531.

It is an interprime number because it is at equal distance from previous prime (135132763) and next prime (135132773).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135132763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174430 + ... + 175202.

It is an arithmetic number, because the mean of its divisors is an integer number (5352984).

Almost surely, 2^135132768 is an apocalyptic number.

135132768 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 135132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192707424).

135132768 is an abundant number, since it is smaller than the sum of its proper divisors (250282080).

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

135132768 is a wasteful number, since it uses less digits than its factorization.

135132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135132768 is about 11624.6620596041. The cubic root of 135132768 is about 513.1608993375.

The spelling of 135132768 in words is "one hundred thirty-five million, one hundred thirty-two thousand, seven hundred sixty-eight".