135645768 has 24 divisors (see below), whose sum is σ = 367374150. Its totient is φ = 45215232.

The previous prime is 135645767. The next prime is 135645773. The reversal of 135645768 is 867546531.

135645768 is a `hidden beast` number, since 13 + 5 + 64 + 576 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105637284 + 30008484 = 10278^2 + 5478^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (135645767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 941913 + ... + 942056.

Almost surely, 2^135645768 is an apocalyptic number.

135645768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135645768 is an abundant number, since it is smaller than the sum of its proper divisors (231728382).

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

135645768 is a wasteful number, since it uses less digits than its factorization.

135645768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883981 (or 1883974 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 135645768 is about 11646.7063155211. The cubic root of 135645768 is about 513.8094445219.

The spelling of 135645768 in words is "one hundred thirty-five million, six hundred forty-five thousand, seven hundred sixty-eight".