135768264 has 64 divisors (see below), whose sum is σ = 359562240. Its totient is φ = 42630720.

The previous prime is 135768253. The next prime is 135768271. The reversal of 135768264 is 462867531.

It is an unprimeable number.

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, 35149 + ... + 38819.

It is an arithmetic number, because the mean of its divisors is an integer number (5618160).

Almost surely, 2^135768264 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 135768264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781120).

135768264 is an abundant number, since it is smaller than the sum of its proper divisors (223793976).

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

135768264 is a wasteful number, since it uses less digits than its factorization.

135768264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3766 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 135768264 is about 11651.9639546301. The cubic root of 135768264 is about 513.9640645692.

The spelling of 135768264 in words is "one hundred thirty-five million, seven hundred sixty-eight thousand, two hundred sixty-four".