135376668 has 72 divisors (see below), whose sum is σ = 392377440. Its totient is φ = 38551680.

The previous prime is 135376639. The next prime is 135376679. The reversal of 135376668 is 866673531.

135376668 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

135376668 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97338 + ... + 98718.

Almost surely, 2^135376668 is an apocalyptic number.

135376668 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 135376668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196188720).

135376668 is an abundant number, since it is smaller than the sum of its proper divisors (257000772).

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

135376668 is a wasteful number, since it uses less digits than its factorization.

135376668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1782 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 135376668 is about 11635.1479578044. The cubic root of 135376668 is about 513.4694470485.

The spelling of 135376668 in words is "one hundred thirty-five million, three hundred seventy-six thousand, six hundred sixty-eight".