135350592 has 112 divisors (see below), whose sum is σ = 388997952. Its totient is φ = 41287680.

The previous prime is 135350581. The next prime is 135350597. The reversal of 135350592 is 295053531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135350597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 526528 + ... + 526784.

It is an arithmetic number, because the mean of its divisors is an integer number (3473196).

Almost surely, 2^135350592 is an apocalyptic number.

135350592 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 135350592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194498976).

135350592 is an abundant number, since it is smaller than the sum of its proper divisors (253647360).

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

135350592 is a wasteful number, since it uses less digits than its factorization.

135350592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 135350592 is about 11634.0273336450. The cubic root of 135350592 is about 513.4364770908.

The spelling of 135350592 in words is "one hundred thirty-five million, three hundred fifty thousand, five hundred ninety-two".