135893120 has 128 divisors (see below), whose sum is σ = 359856000. Its totient is φ = 48660480.

The previous prime is 135893117. The next prime is 135893123. The reversal of 135893120 is 21398531.

It is an interprime number because it is at equal distance from previous prime (135893117) and next prime (135893123).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (135893123) 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, 682781 + ... + 682979.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^135893120 is an apocalyptic number.

135893120 is a gapful number since it is divisible by the number (10) 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 135893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928000).

135893120 is an abundant number, since it is smaller than the sum of its proper divisors (223962880).

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

135893120 is a wasteful number, since it uses less digits than its factorization.

135893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 135893120 is about 11657.3204468265. The cubic root of 135893120 is about 514.1215678378.

The spelling of 135893120 in words is "one hundred thirty-five million, eight hundred ninety-three thousand, one hundred twenty".