135355392 has 132 divisors (see below), whose sum is σ = 411938280. Its totient is φ = 42688512.

The previous prime is 135355387. The next prime is 135355403. The reversal of 135355392 is 293553531.

It is a happy number.

135355392 is a `hidden beast` number, since 13 + 5 + 3 + 553 + 92 = 666.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174718 + ... + 175490.

Almost surely, 2^135355392 is an apocalyptic number.

135355392 is a gapful number since it is divisible by the number (12) 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 135355392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205969140).

135355392 is an abundant number, since it is smaller than the sum of its proper divisors (276582888).

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

135355392 is a wasteful number, since it uses less digits than its factorization.

135355392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its digits is 60750, while the sum is 36.

The square root of 135355392 is about 11634.2336232345. The cubic root of 135355392 is about 513.4425464299.

The spelling of 135355392 in words is "one hundred thirty-five million, three hundred fifty-five thousand, three hundred ninety-two".