135408192 has 112 divisors (see below), whose sum is σ = 376367040. Its totient is φ = 42907648.

The previous prime is 135408187. The next prime is 135408241. The reversal of 135408192 is 291804531.

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 15 ways as a sum of consecutive naturals, for example, 461998 + ... + 462290.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2^135408192 is an apocalyptic number.

135408192 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 135408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188183520).

135408192 is an abundant number, since it is smaller than the sum of its proper divisors (240958848).

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

135408192 is a wasteful number, since it uses less digits than its factorization.

135408192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 135408192 is about 11636.5025673524. The cubic root of 135408192 is about 513.5092996928.

The spelling of 135408192 in words is "one hundred thirty-five million, four hundred eight thousand, one hundred ninety-two".