135712668 has 192 divisors, whose sum is σ = 425492480. Its totient is φ = 32659200.

The previous prime is 135712667. The next prime is 135712711. The reversal of 135712668 is 866217531.

135712668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (60480) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135712667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643083 + ... + 643293.

Almost surely, 2^135712668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135712668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212746240).

135712668 is an abundant number, since it is smaller than the sum of its proper divisors (289779812).

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

135712668 is a wasteful number, since it uses less digits than its factorization.

135712668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 135712668 is about 11649.5780181086. The cubic root of 135712668 is about 513.8939002895.

The spelling of 135712668 in words is "one hundred thirty-five million, seven hundred twelve thousand, six hundred sixty-eight".