135255120 has 320 divisors, whose sum is σ = 563963904. Its totient is φ = 25896960.

The previous prime is 135255103. The next prime is 135255149. The reversal of 135255120 is 21552531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 239959 + ... + 240521.

Almost surely, 2^135255120 is an apocalyptic number.

135255120 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 135255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281981952).

135255120 is an abundant number, since it is smaller than the sum of its proper divisors (428708784).

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

135255120 is a wasteful number, since it uses less digits than its factorization.

135255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 135255120 is about 11629.9234735229. The cubic root of 135255120 is about 513.3157281119.

It can be divided in two parts, 135 and 255120, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 135255120 in words is "one hundred thirty-five million, two hundred fifty-five thousand, one hundred twenty".