135672768 has 504 divisors, whose sum is σ = 542056320. Its totient is φ = 31933440.

The previous prime is 135672751. The next prime is 135672769. The reversal of 135672768 is 867276531.

135672768 is a `hidden beast` number, since 1 + 3 + 567 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135672769) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5898805 + ... + 5898827.

Almost surely, 2^135672768 is an apocalyptic number.

135672768 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 135672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

135672768 is an abundant number, since it is smaller than the sum of its proper divisors (406383552).

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

135672768 is a wasteful number, since it uses less digits than its factorization.

135672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 135672768 is about 11647.8653838375. The cubic root of 135672768 is about 513.8435331506.

The spelling of 135672768 in words is "one hundred thirty-five million, six hundred seventy-two thousand, seven hundred sixty-eight".