135368064 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 39536640.

The previous prime is 135368053. The next prime is 135368111. The reversal of 135368064 is 460863531.

It is a super-2 number, since 2×135368064² = 36649025502216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033279 + ... + 1033409.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^135368064 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 135368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

135368064 is an abundant number, since it is smaller than the sum of its proper divisors (317022336).

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

135368064 is a wasteful number, since it uses less digits than its factorization.

135368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 135368064 is about 11634.7782101766. The cubic root of 135368064 is about 513.4585687960.

The spelling of 135368064 in words is "one hundred thirty-five million, three hundred sixty-eight thousand, sixty-four".