135121608 has 64 divisors (see below), whose sum is σ = 380020800. Its totient is φ = 45034704.

The previous prime is 135121603. The next prime is 135121631. The reversal of 135121608 is 806121531.

135121608 is a `hidden beast` number, since 1 + 3 + 51 + 2 + 1 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135121603) 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 15 ways as a sum of consecutive naturals, for example, 13635 + ... + 21357.

It is an arithmetic number, because the mean of its divisors is an integer number (5937825).

Almost surely, 2^135121608 is an apocalyptic number.

135121608 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 135121608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190010400).

135121608 is an abundant number, since it is smaller than the sum of its proper divisors (244899192).

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

135121608 is an frugal number, since it uses more digits than its factorization.

135121608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 135121608 is about 11624.1820357391. The cubic root of 135121608 is about 513.1467724080.

The spelling of 135121608 in words is "one hundred thirty-five million, one hundred twenty-one thousand, six hundred eight".