135357684 has 96 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 34961280.

The previous prime is 135357683. The next prime is 135357713. The reversal of 135357684 is 486753531.

135357684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135357683) 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 31 ways as a sum of consecutive naturals, for example, 242734 + ... + 243290.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^135357684 is an apocalyptic number.

135357684 is a gapful number since it is divisible by the number (14) 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 135357684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

135357684 is an abundant number, since it is smaller than the sum of its proper divisors (260616972).

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

135357684 is a wasteful number, since it uses less digits than its factorization.

135357684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 135357684 is about 11634.3321252232. The cubic root of 135357684 is about 513.4454444888.

The spelling of 135357684 in words is "one hundred thirty-five million, three hundred fifty-seven thousand, six hundred eighty-four".