135838296 has 320 divisors, whose sum is σ = 470448000. Its totient is φ = 36080640.

The previous prime is 135838271. The next prime is 135838303. The reversal of 135838296 is 692838531.

It is a happy number.

135838296 is a `hidden beast` number, since 1 + 358 + 3 + 8 + 296 = 666.

It is a super-3 number, since 3×135838296³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2302315 + ... + 2302373.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 2^135838296 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 135838296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224000).

135838296 is an abundant number, since it is smaller than the sum of its proper divisors (334609704).

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

135838296 is a wasteful number, since it uses less digits than its factorization.

135838296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 135838296 is about 11654.9687258268. The cubic root of 135838296 is about 514.0524203781.

The spelling of 135838296 in words is "one hundred thirty-five million, eight hundred thirty-eight thousand, two hundred ninety-six".