135628668 has 90 divisors (see below), whose sum is σ = 412495776. Its totient is φ = 38746512.

The previous prime is 135628663. The next prime is 135628709. The reversal of 135628668 is 866826531.

135628668 is a `hidden beast` number, since 1 + 3 + 562 + 86 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135628663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11605 + ... + 20147.

Almost surely, 2^135628668 is an apocalyptic number.

135628668 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 135628668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206247888).

135628668 is an abundant number, since it is smaller than the sum of its proper divisors (276867108).

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

135628668 is a wasteful number, since it uses less digits than its factorization.

135628668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8555 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 135628668 is about 11645.9721792558. The cubic root of 135628668 is about 513.7878527174.

The spelling of 135628668 in words is "one hundred thirty-five million, six hundred twenty-eight thousand, six hundred sixty-eight".