255135025152 has 1152 divisors, whose sum is σ = 968018688000. Its totient is φ = 65895137280.

The previous prime is 255135025099. The next prime is 255135025207. The reversal of 255135025152 is 251520531552.

255135025152 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 350 + 251 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335785377 + ... + 1335785567.

It is an arithmetic number, because the mean of its divisors is an integer number (840294000).

Almost surely, 2^255135025152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255135025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484009344000).

255135025152 is an abundant number, since it is smaller than the sum of its proper divisors (712883662848).

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

255135025152 is a wasteful number, since it uses less digits than its factorization.

255135025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 255135025152 in words is "two hundred fifty-five billion, one hundred thirty-five million, twenty-five thousand, one hundred fifty-two".