135517968 has 40 divisors (see below), whose sum is σ = 388988000. Its totient is φ = 45172512.

The previous prime is 135517951. The next prime is 135517969. The reversal of 135517968 is 869715531.

It is a happy number.

135517968 is a `hidden beast` number, since 1 + 3 + 551 + 7 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (135517969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156418 + ... + 157281.

It is an arithmetic number, because the mean of its divisors is an integer number (9724700).

Almost surely, 2^135517968 is an apocalyptic number.

135517968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135517968 is an abundant number, since it is smaller than the sum of its proper divisors (253470032).

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

135517968 is a wasteful number, since it uses less digits than its factorization.

135517968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313716 (or 313704 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 135517968 is about 11641.2184929242. The cubic root of 135517968 is about 513.6480302711.

The spelling of 135517968 in words is "one hundred thirty-five million, five hundred seventeen thousand, nine hundred sixty-eight".