135038568 has 64 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 38457792.

The previous prime is 135038479. The next prime is 135038569. The reversal of 135038568 is 865830531.

It is not an unprimeable number, because it can be changed into a prime (135038569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59193 + ... + 61431.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^135038568 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 135038568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

135038568 is an abundant number, since it is smaller than the sum of its proper divisors (252033432).

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

135038568 is a wasteful number, since it uses less digits than its factorization.

135038568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 135038568 is about 11620.6096225628. The cubic root of 135038568 is about 513.0416314644.

The spelling of 135038568 in words is "one hundred thirty-five million, thirty-eight thousand, five hundred sixty-eight".