135688042 has 32 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 55745088.

The previous prime is 135688039. The next prime is 135688043. The reversal of 135688042 is 240886531.

It is a happy number.

135688042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135688042² = 36822489483587528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135687992 and 135688010.

It is not an unprimeable number, because it can be changed into a prime (135688043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59373 + ... + 61615.

It is an arithmetic number, because the mean of its divisors is an integer number (7573500).

Almost surely, 2^135688042 is an apocalyptic number.

135688042 is a deficient number, since it is larger than the sum of its proper divisors (106663958).

135688042 is a wasteful number, since it uses less digits than its factorization.

135688042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 135688042 is about 11648.5210220010. The cubic root of 135688042 is about 513.8628152113.

It can be divided in two parts, 1356 and 88042, that added together give a palindrome (89398).

The spelling of 135688042 in words is "one hundred thirty-five million, six hundred eighty-eight thousand, forty-two".