135865296 has 160 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 38448000.

The previous prime is 135865277. The next prime is 135865313. The reversal of 135865296 is 692568531.

135865296 is a `hidden beast` number, since 1 + 358 + 6 + 5 + 296 = 666.

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, 541171 + ... + 541421.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^135865296 is an apocalyptic number.

135865296 is a gapful number since it is divisible by the number (16) 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 135865296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

135865296 is an abundant number, since it is smaller than the sum of its proper divisors (314105904).

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

135865296 is a wasteful number, since it uses less digits than its factorization.

135865296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135865296 is about 11656.1269725411. The cubic root of 135865296 is about 514.0864767924.

It can be divided in two parts, 135865 and 296, that added together give a square (136161 = 369²).

The spelling of 135865296 in words is "one hundred thirty-five million, eight hundred sixty-five thousand, two hundred ninety-six".